{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 平稳性\n",
    "1. 读取数据\n",
    "2. 检验原始数据平稳性\n",
    "2. 差分\n",
    "3. 检验差分平稳性\n",
    "4. p-value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 读取数据\n",
    "import pandas as pd\n",
    "\n",
    "data = pd.read_excel('./HFData.xlsx').set_index('datetime')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dickey-Fuller的零假设是有一个单位根，另一种假设是没有单位根。如果pvalue大于一个临界大小，那么我们不能拒绝有一个单位根。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda3\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
      "  from pandas.core import datetools\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原始序列的检验结果为： (-2.1141723681990077, 0.23885413973689235, 24, 8663, {'1%': -3.4311050777703302, '5%': -2.8618736937872296, '10%': -2.566947620253096}, 57380.39848402708)\n",
      "原始序列p-value结果为： 0.23885413973689235\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.stattools import adfuller \n",
    "\n",
    "print('原始序列的检验结果为：',adfuller(data['close'].dropna().values)) \n",
    "print('原始序列p-value结果为：',adfuller(data['close'].dropna().values)[1]) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 进行差分\n",
    "data['diffClose'] = data['close'].diff()\n",
    "diffClose = data['diffClose'].dropna().values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "差分序列的p-value结果为： 3.847990367587417e-29\n"
     ]
    }
   ],
   "source": [
    "#平稳性检测 \n",
    "from statsmodels.tsa.stattools import adfuller \n",
    "print('差分序列的p-value结果为：',adfuller(diffClose)[1]) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 自相关\n",
    "1. ACF\n",
    "2. PACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PAN+sqo9X1c6quh74F+An23Z/XVWtb9Y/19lGK+C+AfiVqnqyqrYCfwRcMFmt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\nJEkA/P9u4+WdMZy9uwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e3395ae828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(data.close,lags=10,ax=ax1)#自相关系数图\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(data.close,lags=10,ax=ax2)#偏自相关系数图\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vyRoa82Cfy/3A0c8xNeIIGoHwQRoh9oPPo57zgN+jMdd29Of/AN7YnN/7XeCw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e33966dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察处理后数据的ACF和PACF\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(diffClose,lags=10,ax=ax1)#自相关系数图\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(diffClose,lags=10,ax=ax2)#偏自相关系数图\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 白噪声\n",
    "1. 生成白噪声\n",
    "2. 生成随机游走"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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maCYBFu8L8niZv3IzrrxjXqQMsY/q+oBsK0rCffNXY5OfOyi+klOlMTB1iIhT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\nA5QCjt1NjzsQkUQzyknAjr/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+ZELk96vODkMUig7h62cciEGdhQgVM35ENz50xJ5aQ6yo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\nWFi0Gaxgt7CwsGgz/H+ykjzvincXgQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e3395e8c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "n = 500\n",
    "white_noise = np.random.standard_normal(size=n)\n",
    "plt.plot(white_noise)\n",
    "plt.title('White Noise')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CuZ7Sz1Yj+fgQMGsWAIFZmULrbN/ep+c8fF7oHGWJx0mJoZfUOorOyUyNRqfV4K/Xcceo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\nlkVeYx5/uSTptfnUOaAG/GFkrXPtoNQLNNQGZe9C42Xpde1FqDojvW6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PDQNg8booktIj\nAEhZbcW+avSsXsaRacVZ0TmnWqck14lGJ2AbGs9E3Kp1Opv7yM+pQhRFejoGyD1UgVctB61yD6IG\nfJVpk741jmhHMInLwkl7II7IJDPJKy0s2xyLNdGEY/XogC83U58rrSN6RUrznCSkhmP0n9peQkem\nVdI69T3kHa7k9KslNJZ3UnC0mrP7y6i51jonY1VRuZOoAV9l2iSkhvPYlzPRGbREJQfz4X9ejTFA\nT0RcEI9/bQ2BwcZRxwdb5lbrKDonw3fTdl/YV0mZOzcvNFKaL92ISvKcSo6+mquvci+iBnyVeUHR\nOi2zr3UUnbNi6gE/METSOpfeqaK/24UxQMeVE3V0tfRjDNBRdqkJj2fuSlOrqNwJ1ICvMi/Mlda5\nHZ0zckzuQS86g4Z1j9hxD3jQaAQ2ftjBQI+b2uttszpWFZU7jRrwVeYFWevIC6UX3ixn/w/zEUWR\ngqPV/Pk7FxC9IldP1/HH/3NO2cErU13cyvNfP01v5yANZR387mun6Gzpuy2dIyNrHVtaBCmrrWi0\nAnFLQklZE4neT6tsGMv51WXeV6tsqtwDzG2HDRWVEdgzLJzdX0Zncx+X36ult3OQ1roeLr9fS3tj\nL/VlHUqLxeprrdjShjNurpyopau1n7J8J87KLrrbBrh5oZG+bte0dY5MUKiR3Z9JIyI+CGOAnt2f\nTSPY4o9Or8WWFkHZpWbW7O3nZq4TnU7D+scc6I3a2fyRqKjMK+oMX2XekNM1T/75Jr2dgwCcO1BG\ne6NU0TI/pwpnZRcwusqma8BD5eUWAG5caKSsYGiRNddJaa6ThKVh09Y5MsmrLJgjpPaOtrQIQqMC\nlbH297h4/6UbIEqbyuQxqKh8UFEDvsq8EWwJICI+iPKCZrR6DVabmfKCZgQBoh3BVBQ2AxCTEkJ5\nYTMet6R1Koqacbu8xKSEUF/SwUCPm5iUEJqru+luG8A+hc1W0yUhNQy9UUt5QTMhkQH4mw1q5o7K\nBx414KvMK/IsP3FZOEvXRwEQsyiU5VtiAakcwqqsBAZ63VRflXLhS/Oc+JsNbH4iBQC9n5atH18C\ngEYnKJu/ZhOdQats4nKstmJfaaHycjOuAQ+iKFJR1IzX40UURSovt4xZc7iV+tIO+rqkp5rGCqnI\nm4rKfKMGfJV5JWV1JDq9hiUbokleZcXgp2Xphmhs6RH4BelZuiGa+KVSPZzSXKekc4pasK+yEB4b\nhDXRxKI1kYREBhC3JBT7SgvGAP2cjHXphmi0eg2L1kRiz5Qyeiovt1B5uYU3/7OQa2cbqC/t4OBP\nCyh6r2bc8/R1D7L/+3mcfrUE14CH/T/Ml1SRiso8oy7aqswr5gh/PvXDLWh10lzjb/5js/L66e9u\nRKMVEASBpBURlBc2E7c0DLfLiyPDiiAIfOirmQiCVBDtoX9YAUOv54L4pWF8emiswdYA/E16SnKd\n6AzSeEtynYREBiivV+5I8Hme8kvNeL0i5QXNxC0Jwz20JjHY78bgp/4Jqswf6gxfZd6RA7yv13Iw\nd2RYGeh1c+bVEvzNBqJTQgDQaDUIQxUwNVqNUg1zrseq0Qgkr7JSebmZ8oJmNFqBmmttlFxsRKMV\naCzvpKu13+c5SvKcaLSCcj0arYDH7aWiqHlOx66icitqwFe5K5G1Tk/HIPZVljkP7FPBMaR1Bvvc\nrNljQ/SK9HW5WP2gDcBnjf2+7kFqrrWRtjVOuZ6lG6IJDDZQmju3JaNVVG5FDfgqdyVavYakFUOL\nphmzn4VzO8SkhOBv0mMM0LEqKxFzhB9anYYV2+OJiA/ymcVTfqkZ0SuyeG3U8PWsjiQ5w6ponXZn\nL2/+rJD+Htd8X5LKAkMViCp3LauyEvAL1Cs6504jlV1IwevxotVp2PihFHo6BjD46XBkWjm7v4yu\n1n5MYX7Ke0rynJgt/kTEBynXE5MSgkYjUHS8hoqiZpoqu6gobKYk16lkK6mozAXqDF/lriU8JohN\nj6fcFTpHZvF9UVJTdKRNW2kPxAEjawUNz/L7u13UXGtTFpxHXk+0PZiAYAMlF51KfSE1z19lrlED\nvorKLBBiDRijdcoKmhC9os8uXIJGwJ5hpbywma7WfkIiA6i70absQFZRmQvUgK+iMks4Mq2jsnVK\ncp2YI/yIiA/yfXyGFUTQaAW2fnwxoghll6TZ/mCfm4E+NyCVlpD9vnvQQ3+39Nrj8iqbuVRUpoIa\n8FVUZomRWkfROZmRSqrprUTbgwkKNZKwLJxoRwghkQHKE8Lb/1XEwZ8UAPDOb4t57ft5iKLIey/d\n4E/PnsfrFTnzWil/+N/ncLs883OBKh941EVbFZVZQtY6pXlODP66cXWOjKAReOwrmegNWgRBwJ5h\nIe9QJc01XdRcbwMRmqqkBV2vR6SxopPSPCeufg91N9q4cbGR/m4XVVdaSV45/WqhKgsPdYavojKL\n2DOsNJR1Uni8ZkKdI2MK88MvSCoN4ciMRBTh6O+uwlAP9WMvXMXrkf7nvT9cx9UvzeZPvVJC35Dv\n95X/r6LiCzXgq6jMIvKegZaabhyZ1nF1ji/CYwMJiQygubqbsJhArIkmmqu7CQozErcklObqboyB\nOmzpETRXd6PTa3CslhZ+Va2jMhXUgK+iMouERAYos3pHZuS03itrHem9VqXssz3Dqqih5JUWFq2V\nzpuYFs6S9dG4+j1UF7fO1iWo3MOoDl9FZZZZuSOBsvymSXWOL5ZuiKbmWhuL10Wh1Wooy28idWMM\nAWYD1840sHxLLKFRgcSkhJD2QBxR9mCMATpK8pwk3UbXL5WFhSCK4p0eg8Lq1avFixcv3ulhqKh8\noDj6/FXK8px88t83odOrLRgXIoIg5IqiuHqy41Slo6LyAceRYWVQ1ToqU0AN+CoqH3DiloQqWkdF\nZSLUgK+i8gFHq9OQtNJCRUHzpK0WFwIdTb385qsnaSjvuNND8UlJrpPnnznNQJ+bquIWfvvPJ+np\nmJ+Wl2rAV1G5B5C1TtVVVetcP9dIX+cgV0/X3+mh+OTKiVq6WvqpKGii+EQdPR2DSgG9uWZGAV8Q\nhH8XBOGaIAiFgiC8JghCyIjvfU0QhBJBEK4LgpA986GqqKiMh6x1StWKm8pGtLL8Jryeu+uJp697\nkNob7QBcPdNA5eUWYP42z810hn8EWC6KYjpwA/gagCAIqcCTwDJgF/AzQRDU9AEVlTlCq5MaxpQX\nNC1ordNa10NrXQ+xi0Po73ZRe7P9Tg9pFGX5UgXV2MUh1F5vw+3yErs4hLqS9nnROjMK+KIo5oii\n6B7637NA3NDrh4GXRFEcEEWxHCgB1s7ks1RUVCbGfhdqHa9XpOySFOTmipbabtoaegCp4QwCbP34\nEnQGzV33xFOSKzXEWfewHQB/s4HNH1kEIvOidWbT4f8N8PbQ61igesT3aoa+NgZBED4jCMJFQRAu\nNjWpPT5VVG6X+KVhd53WKbnYyNu/KJqzDCJRFHnzPwvJ+fUVQFIj0fZggi0B2NIjKL2LtI6scxwZ\nViJtZkKjA1m6Porw2CDCYgKpnocb9aQ7bQVBeAeI8vGtZ0RRfH3omGcAN/D76Q5AFMVfAr8EaePV\ndN+voqIiIWudsnxJ62j1dz4nQy73XJrnJGX19EpNTIXGCqn/QFcrlBc201rXw+YnFgHSQnbJRSe1\nN9uJXxI26589XWSd48i0ImgEnvzGWuRSS3u+kE5QiHHOxzBpwBdFccdE3xcE4WlgL7BdHN62WwvE\njzgsbuhrKioqc4g9w8q1Mw1UX23Flh5xR8cy2Oem6korGp1AZVELrgEPeuPsLuWV5DrRaAS8XpF3\nf38NBJR6RAnLwxWtczcE/NIR/Y2BUa07zeH+8zKGmWbp7AK+CuwTRbF3xLcOAE8KgmAUBCEJSAHO\nz+SzVFRUJkfWOnfDJqzywmY8bi9r9iThdnmpKGqe1fOLokhpnpP4ZWFEJpnp7Rgk2h5MYLA0U9Yb\ntNjSIii7dOe1Tl/3IDXX25X+xneKmT7z/RQwAUcEQbgkCMIvAERRvAK8DBQDh4AviKKo1m9VUZlj\ntDoNSekRlN8Fm7BK85wEhhhZlZWAv9kwK6mHzTVdvPmzQgb73TRWdNLdOoAjc7ia6K0NZ+wZVvq6\nXNTdbMft8vDWzwtpKO/A6xU5/KvL1FybnwXu8kvNkzbEmQ9mVC1TFEXHBN/7NvDtmZxfRUVl+tgz\nrVw720D1tVZsaXdG68g6Z9mWGLRaDfZVFq6drp+x1ik6XkNFYTPlBc00V3eh0QokpUcgitDZ3M/i\n+0YvNyamSVqnJK+JwX4P5QXN6AxaUjfFUHJR6h4WNw+6pyS3cUoNceaaO7+qo6KiMqsoWucOZutU\nFEk6R24I48iw4nZ5lY1Gt4PH46V0qMl7Sa6Tkjwn8alhGAP0+AXq2fLkIowB+lHvUbROvpObFxql\nsRU2c/2stAu3+mqr0iB+rlB0zjQb4swFasBXUbnHuBu0TkmupHOikoMBiE4Jwd9soCS38bbPWXu9\njYEeNyGRAVQUNks6J2NyRSJrnZJcJyGRAbgGPFw700BIZABej0h5weyuLdzKsM6Z/Syl6aIGfBWV\nexB7ppXBPjfVt+moXYMe+roGJzzG6xXpbusHpAXUrlbptaxz7KssCEOZKBqNgH2lRcnWuR1Kc53o\njVq2PCmlXWq0AkkrJldWstYB2PhhB36B0lPA2oeSMIX5TXttQb5OX6/lRMWu1n5ls1lJnvOu0Dmg\nBnwVlXuS+KVhGPxvfxPW+3+8zsvPXsA7wQ7ZwmPVvPiNs3S3DXD1dD0v/OsZ2ht7FZ1jv2WB0pF5\n+1rH4/FSdqkZW3oEcYtDCQozkrAsfIzC8YXeoCVphQV/k5741DAcmVb0fpLqsWdaqb6+80DEAAAM\nO0lEQVTaykDv1LRO9dVWnv/6aWqut9FQ3sHzXz9N2aUmWut7eOGZ01w/20BXaz8vfvMMhe/W0N/t\nouZa212hc0Btcaiick+i1NYZSo3U6qY+t3MPeijNa8I14KHuZjtxi0N9HnfjfCMet5fSfCflBdKm\nopsXG2mq6iIw2ED0kM6RGdY6zmlnq9Rdb6e/x6VsWvrQVzLRGaa++Hv/xxYz2OdGq9Ww/jE7q7IS\n0Bu1ODKsXDpSRXlBM0vWR096nhvnGoauvQH90OffON9AaHQgoii97u9x4XWL3DjfiN6oRfSK2Keg\nnuYDNeCrqNyjODKtXD87tAlrGtk6VcWtinYpzXX6DPgdTX00VXUBUHyyjrZ6qZbN9XMNdLcOkLo5\nRtE5MrLWuXa2HtegRwmYU6EkVwqeCalSRk1QqN+U3wtg9Ndh9JfCncFPh8FPem21mTCF+VGS55w0\n4HvcXsoLJd9fdqkJ3dBNtLKohebqbgBqrrfT3S6pMGdFJx6XB3OEH5YE07TGO1eoSkdF5R7ldrVO\nSa4TY6CO5JUWSi81+dQ6svdO3RhNa10Pogipm2LocPaNys65FXumFfegl8qiqWudkTpnOrP6qSAI\nAvYMC9XFk2sdSf24Sd0Uw0CPm56OQVI3xeB2eelo6iN1UwyiV6StvofUjdLNo6W2B/sd3mw1EjXg\nq6jco9yqdcbDPejh7P5S+ntcuF0eKoqaSV5pIWVNJH2dg9TfbEcURfIOV9I6NJMvyXVitZlZuTMB\ngJDIANbsSQIgINhAtD3Y52fFpITgb9JPK2VU0TlzpEXsmdZR2TpXTtRSXyp1y7p2tl5Z+C7Nc2Lw\n07LxQw70flq0Og3rH7XjbzaAIC0Cmy1SiYRV2YnKrP5Ob7Yaiap0VFTuYRwZk2udkjwnuYcqMfjr\npLTFfg+ODCvRjhB0eg0leU4M/jrOvFZKS203ax9Kpqmqiw2POQiNCmTRfZHELgolKNTIsi2xhEYG\njNE5MhqNgH2VdVpapyRPys5JWDY3G6QibWaCwoyU5DlJWBbOe3+4TpQ9mL1/v4J3f3+dEKs/j39t\nDeUFzSStsGDw17FqZwLuQQ9+gXoyshLobOojMNhIRlYCDaUdhFgDWLkznrK8prtG54Aa8FVU7mni\nl4Zh8NNSmuccN+DLykfOUzcG6ohdEopWqyExLZzS/CZld2x5YTPB1gBguEjZzk8uU871wMcWTzom\ne6aVy+/XUlnUMuns1+PxUpbfNCc6R0bSOlaKjtdw7Uw9ogj1pR0Un6zD4/LSUttD0bs1DPS6lcwj\n+WkGYOWOBOX1ss2xLNssVYJftCaKRWt8FRq+c6hKR0XlHkarlxqclxf41joDvS6qilvxC9LTVNVF\n2aUmklda0Gql0GDPsNLXOUjR8Rr8gvS4+j3kH67EajNjjri9Co+y1plK/vtc6xwZx5DWuXCwHL8g\nPYhw7vUyjIHSnPjc62UY/LQkLL3zVTdnghrwVVTucRwZVgZ63dRcaxvzvfLCZrweUdnM5HGNXnC1\npUWg02twu7ys3ZuEMVCH2zX+ouxU0GgEkldZqShqxjU48SasudY5MrLWcbu8LNscQ1hMIG6Xl0Vr\nooi2B+N2eUlaYbkregzMhA/26FVUVCZF1jq+yhqU5joJCjPiyLRiTTRhDJB0jozeqCVxeTiCRsCx\n2krySknjyDrndnFkWJRsnf4eF7/955NjZvxej5eyS03Y0sLnTOfIyFoHuKX6pkX5+q0byT6IqA5f\nReUeR6vXkLRiWOvIm7AG+txUXW0l7YE4BEFg218vZaDXregcmQ0fdrB0Uwz+QQbu25dMUnrEbesc\nmZFaZ7BfSnEsPlk3aoNS7Y12+rtd8xZoV++2EZUUTEScCXOEP8FWf6IdIVgTzfgF6bEtD5+Xccwl\n6gxfRWUBYM8cq3UqCprwukVFz4THBBHjCBnzXnO4P4nLpGAXGGwkacXMZvcAGq1G0TrXz0q7V2uu\ntY2qXFmS60Rn1CqfPdf4BeqVmb3BT8eiNVEIgoDOoGXxfVHjZh59kFADvorKAiBB1jojtElJrpOg\nUCORSeY7MiZZ69TdbCduSSher0jZUPljWeckzYPOWUioAV9FZQGgaJ1LTXg8XkXn3MldoLLWAVj/\nqB1zhJ+SIjrfOmehoAZ8FZUFwkito+icOxhQNVoNS9ZHEx4XhCXBhD3Dqmidkrz51TkLBXXRVkVl\ngSBrndJcJ33drjuqc2TWP2pn/aN2BEHAkWklP6eK0jyntNlK1TmzjhrwVVQWCFq9BtuKCMouNeEa\n9JB2f9wdL+o18vMtCSZM4X6ce6Oc/u6532y1EFGVjorKAkLehHWndY4vBEHAMbSzV2fQkHAPpEHe\nbagBX0VlARGfKmmdoFAjkbY7q3N84Vgt3YRs6RHTqpevMjVUpaOisoDQ6aWesDqj9q7MK7ckmFi9\nx4Z91d319HGvoAZ8FZUFxuJ1k7fyu1MIgsB9DyXf6WHcs6hKR0VFRWWBoAZ8FRUVlQWCGvBVVFRU\nFghqwFdRUVFZIKgBX0VFRWWBoAZ8FRUVlQWCGvBVVFRUFghqwFdRUVFZIAiiKN7pMSgIgtAEVM7g\nFBFA8ywNZzZRxzU91HFNn7t1bOq4psftjitRFMVJW5HdVQF/pgiCcFH8/9s3uxCrqjAMPy9jemH2\nY4UMajkDFnhlEl2pN0U5Qzn9QEx0YRREEJFExMRAeGtRt0mRJGEpUdLcBGVEXfWnzOiYmqMN5DDO\ngF0YFJX1dbG/E3sOs49OcdY6nfM9cDhrf2cP++Vd37yz19pzzG7LraOe0LUwQtfCaVVtoWthNFtX\nbOkEQRB0CBH4QRAEHUK7Bf7ruQVUELoWRuhaOK2qLXQtjKbqaqs9/CAIgqCadrvDD4IgCCpoi8CX\ntEXSSUkTkoYy6lgt6TNJ30k6JukZr++QNCVp1F/9GbRNSjrq1//Wa8slfSLplL9fm0HXLSVfRiVd\nkLQ9h2eSdkualTReqlV6JOkF77mTku5OrOtlSSckHZF0QNI1Xl8j6deSb7uapauBtsq5y+zZ/pKm\nSUmjXk/mWYOMSNNnZva/fgFdwGmgF1gMjAHrMmnpBjb4eBnwPbAO2AE8l9mnSeD6utpLwJCPh4Cd\nLTCX54CbcngGbAY2AOOX8sjndQxYAvR4D3Yl1HUXsMjHO0u61pTPy+TZvHOX27O6z18BXkztWYOM\nSNJn7XCHfzswYWZnzOx3YB8wkEOImU2b2WEf/wwcB1bm0HKZDAB7fLwHuC+jFoA7gNNm9l++fPev\nMbMvgJ/qylUeDQD7zOw3M/sBmKDoxSS6zOxjM7voh18Cq5px7UtR4VkVWT2rIUnAQ8C7zbh2Ixpk\nRJI+a4fAXwn8WDo+SwuErKQ1wK3AV1562pffu3NsnQAGHJR0SNITXlthZtM+PgesyKCrzCBzfwlz\newbVHrVS3z0GfFQ67vGtic8lbcqkab65axXPNgEzZnaqVEvuWV1GJOmzdgj8lkPSlcD7wHYzuwC8\nRrHltB6YplhOpmajma0H+oCnJG0uf2jF+jHbv2xJWgxsBd7zUit4NofcHs2HpGHgIrDXS9PAjT7X\nzwLvSLoqsayWm7s6HmbujUVyz+bJiH9oZp+1Q+BPAatLx6u8lgVJV1BM5F4z+wDAzGbM7E8z+wt4\ngyYtYxthZlP+PgsccA0zkrpddzcwm1pXiT7gsJnNQGt45lR5lL3vJD0K3AM84iGBL/3P+/gQxZ7v\nzSl1NZi7VvBsEfAAsL9WS+3ZfBlBoj5rh8D/BlgrqcfvEgeBkRxCfG/wTeC4mb1aqneXTrsfGK//\n2SbrWippWW1M8cBvnMKnbX7aNuDDlLrqmHPXlduzElUejQCDkpZI6gHWAl+nEiVpC/A8sNXMfinV\nb5DU5eNe13UmlS6/btXcZfXMuRM4YWZna4WUnlVlBKn6LMWT6QRPvvspnnafBoYz6thIsRQ7Aoz6\nqx94Gzjq9RGgO7GuXoon/WPAsZpHwHXAp8Ap4CCwPJNvS4HzwNWlWnLPKP7gTAN/UOyVPt7II2DY\ne+4k0JdY1wTF3m6tz3b5uQ/6HI8Ch4F7M3hWOXc5PfP6W8CTdecm86xBRiTps/imbRAEQYfQDls6\nQRAEwWUQgR8EQdAhROAHQRB0CBH4QRAEHUIEfhAEQYcQgR8EQdAhROAHQRB0CBH4QRAEHcLfg/R3\ndpN930sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e3393c5cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "nwalks = 5\n",
    "nsteps = 200\n",
    "draws = np.random.randint(0, 2, size=(nwalks, nsteps)) # 0 or 1\n",
    "steps = np.where(draws > 0, 1, -1)\n",
    "walks = steps.cumsum(1)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "for i in range(nwalks):\n",
    "    ax.plot(walks[i])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/AZcd89g3gPWiKNYC6xO/n3DCbW1oysvIvvwyUEgvX10sCb46v4BIRyfRnh50\n8+djOHsl/b/7PZGODvTHBGyTqGxWxGAQ0Z++Z/eINcTC9Pp7aXSN7JEtM0gwEqPTFWB5pRVtopHV\nRG+FBUHAolefNEHbg11SN8i9xwh+m136fBUPsRLFaJT4MZ+7SpuRlgEf/h07MCxdgqCSAtw3PrKJ\nmx/dTDgan/TaulOCf4It/MRn4Fi3ThJRFNnd5mJpmYVV1TZ8Gj2eytn4Nr4/bWtKCr7COLJ/frJN\nc1VMem+TAduWW2+j6z//c9rWNBpTIviiKG4AjnVkXwM8nvj/48DHpuJcx0PM6yM2MIC6rJxDYQ11\nBVIK1xGyCEZidKhNxF0uyeovKaH0//6PrNWrATAsO3PUYybbK0zEj9/t60ZEpN3bTig2/ii00xWp\nD7o0lCKZTz+ZCkWzQX1S+PDD0ThHej1kaVW02QPDBK0pEcsYOsO3/9FHabzqagA8b71F8623Mkcb\noa+zn9Dhw+iXLQOkVMqGXi972l388LVDk15f74fEwrcl3CGbjg5w9S83jghydzgD9HtDLC2zsKLK\nyjcun0vplR8huG8foaam1HbB+sOEGpumZFDOmIKfcBkXBwdTMmNeL9Hubjxvrifc3Ew8ECDmTT/K\ncaqYTh9+gSiKyb4F3UDBaBsJgnCXIAjbBUHY3tfXN43LGezp3WW0ctOjm3lj/kUctlbw58YQD7x0\ngEcPDPbaVpcUozSbKf3VL6l5/TX0S5eOesxkA7WJ+PE7vFIWUFyM0+Ief0zd6UpS5CptxlThymSC\nXRa9+kPlw48HAojRke6II71eIjGRq5dKArFniJXf3O9DIQy2CwYIbN9BpKODeCCAb9NmAtt3cMmT\nP+P8+o0giin//c4W6TgrKq38fmMTh7rHn4U7GskpTnmmE2vhJ/3fj2xoZG+7i0Pdw3vkNySa5c0r\nykapELj7ghoKr/84KJW4nn0WkFInm667jsYrrqDxo1eO+n5MhEwsfJtH0ojcLC2R9sRAGVGk50c/\npun66+n+7tgNHKeCGQnaitIldNTLqCiKj4qiuFwUxeV5edNbFOFvagbgW9ucWAxqvvODz7HrGz/h\n+f29PLG1ldzKwcHEyauyoFCgqahIe8zJWPhdvsH+Pce6dZpcTXT7pi+4dLLQ6w7yi/UNaFQKqvOM\nqUERkxJ8g+ZD48MXo1Ear7qavp+PjN8kh5LfsLwMQYC9bYOZOo39PsqshmE92oMNUruPaF8f0b4+\nBK2W7IalTa19AAAgAElEQVT9fPrAK8TLKtAvXQLAjhY7GpWCn9+8FEGAV/dN7vPV4w5iNWqmNbUx\nE5KCnzQIkgV5SVqGGApJ1Pn5ZF14Ic7n/oUYiRDYuw8iEYznnUe4sTGj9uhjMZbgK7KzUWRlYXRK\nBq0tS0O4VZq5rJ0/D+/69cRcLiwfm34nyHQKfo8gCEUAiZ+903iuMTna5+WrT+3mx3+Smit5rIX8\n7bMrKTLruX1VBdG4SL5Jy9duldw3cQRp8EMGpFokT9DCVwgKBASanE3U2+t5eNfDfPb1z3L1v67m\n6xu+PsFXeGrR6w7yid9+QFO/j0duXYZJp6YsaeGbJuHS+RD58L0bNxJpbyewa1fqsVhc5IOj/Wxr\ntqNVKVhYnE1NXhbrD/XgSwQmm/p9wwQs6nAQ6+uX/t/fT7S3F/3ixah+/HP+ffU9HPr+Iyh0kutl\nR4uDxSVmisx6llfksO5A+ilZY9HjDqWmOZ1Ijs1h7/cMF/zmAT9GjXKE+89y/XXEBgbwvPMOgd27\nQRDIv/+rANLvx0FS8JsPe9n4TANiXOTorl42Pi1dSNxVK9nZWcLd51dz5eJiIomBMiUPPYTtrruo\nfu45jOecc1xryITMSxYnzgvAHcCDiZ/PT+O50uILRfnMn7Yx4A3zXY2fuMnMq//v8tTU+uq8LL57\nzQLmFmZjzlHQA7j02QiazIRlsIHaBCx8bxcFhgIUgoJD9kM8Wf8krpCLMlMZ86zzOGQ/RFyMoxBO\nu6xZPMEIn/qj9H498bmzWZoYZXjB7Dw+ONo/TPQyxfwhcum4nvsXAKGjR1OPvXGgh7v/ugOQxjOq\nlAo+f341//HsXq799fs88bmzaer3cVbl4Bzf0OFBizTaK1n4+kWLKLzsEg68H6HFGeSlvZ0YtSrq\nOtzcuboSgI8sKOR7Lx+kze6nzDqxNsEfhhx8AINGhU6tIBiJIwhS2+ihNA/4qLAZRxToZa1ejdJm\nw/3yK8R9PrSzZqGdOxdlbi7+XbvIufnmSa8p7vOhMBjY+3YHnQ1OQoEoDVt7iEXjzFlVSKPtXPop\n4J6zKjHn6en6cytKsxltbW3qojMTTFVa5t+BTcAcQRDaBUH4DJLQrxUEoQFYk/h9xvnuiwdosfv5\n/R3LWab2YagsT4l9kttXVbKiyorCbCam1tClt2SczaDQ6VAYjUQn0E+nw9tBkbGIanM1b7e9jT1o\n57drf8uL177ITXNvIhAN0OHpGP9AJzmiKPKbd47S5ZKmAr28t4u1P91AfY+HX33yzJTYA8wvzuYv\nn1k55mjDdFgMajyhKNHY5DNUpoKY04n3rbdQZGcTczhSd4WHeyQf9JcunsX9a6VEguuXl/GnO1dw\nuMfLw+sb8IdjVOcNXuyGuiCSLh1Vfj5alZJii54NDf3c9/dd3PnHbYRjcZaVS6mtl86X7lxf3z9x\nt073kGlbJxqbUcuSMgt5WVr6PcPddS0DfipzR17MBJWK7I9cijdh4euXLkEQBPRLlxDYvee41hP3\n+yArm55mNyqNgkMfdKEzqlAoBHa/0Uo/UiV/b4vktou0tafmBc8kU5Wlc7MoikWiKKpFUSwVRfEx\nURQHRFG8RBTFWlEU14iiOOPlqJ3OAE9tb+Ozq6tYWW0j3NqGZow/siAIhIvLaTEVpkQoE5Q228Qs\nfF8XJVklVJurERGZZZnFysKVAMyySBN9GpwNBPbswfP22xkf92SjzR7godcO8bfNrfR7Q3zp7zux\nZWl46q6zuWhO/rj7xzye1K30WFgS1bbuYOaBuZjTSTw4tX303a++ihiJkPv5uwCkOhAkd02JRc+/\nXTqHC4e87vNn53FWZQ5/3yYlGwy9uwkdPozCbAaVinBzM2IwmGoLXGkzsrvNiUqh4PZVFcwuyGJl\nlRRrKrcZmFNg4u36iXlYw9E4/d7QjDdOS8e3r17A/1w1n9ws7TAffjQWp83uT3snmH355YjBIHGP\nB/0SKcZhOOMMIq2txzXXIu7z4cmpJhaJc+Etc1h4fglX3LuY8gVWDm/tAQQQ4/TWS+60ZHr4THNK\n+wySucxXVBrp/clPiXR2oq4oH3Of0P/+jEcXXZ0aPpwJKqs1Yws/Eo/Q4++hKKuIaks1AF8+UJEa\nvpISfEcDvT/6MR1f/gqRnsn5XD/sJC+q21vsqQrT716zgOVDXBdj0Xb3PbR98YvjbmdJ9G6fSD+d\n1k9/hpY77kBMMx9hPMTYyP77zuf+hXb2bLKvvAogNWGtudfNhf6WUdMDr15akrrbHJqSGWpoQFdb\ni8pmS/V6UuVLgp/sqfPxM0v47jULWffVC4b1gF9RZWVPm4tYPPN0xJ2tDuKiNDryw8Da+QWcWZ5D\nrkk7zKXT6QwSjYtpBV+/bFnqwpjMvEv+DOyZnJXf3+6l25eFyyS1dSibb+OCW+aQX5HN7BXSHZXN\npiDL207PkQHEaFTSolJZ8KeUug43SoWA9Tc/ZuCxxzBdcgnWT35yzH1KKooJqrTDhg+Px0Qs/F5/\nL3ExTklWCWsq1vDlJV+i6Nn3cfzlrwAY1AZKsko4am8gcOAAYjjMwCOPZLyWk4lkX5E9bS42HR1A\no1JkLChxn4/A7t34N20meGjs3PKk2GWaiy+KIqGmJoJ79tL7k59ktM9QBh77A0cv/ciwKsrQ0aME\n9+7FfO21qPLzUGRnEzrSgCiKzNq0jluf/iGBnTtHHOuji4pQKQQ0KkWq6EoURUINDWhn16LKzU29\n/qSQzU2kI37u/OpR13dGuQVvKEpDr4fWAT8v7Olk/cGeMS8AGxv6USoEVtXMTD/5TJFcOoOC35wY\nAFORZoyhoFBI70FBAZpq6e+jW7AA1Gr823dM+PyxWJxXfrOXLZxPh2Ee5nw9huzB+F/lklyy8/Qs\nvLAUk7eNgd4o4a5uiEZRl5WOceTp4dQW/E4X56o9+N98E9vn76L04V+gyh17vFmhWYdCgHbnBCx8\nW+YN1Do9HVi8IkXGIrI12dyqPY+410uosTHlQqi11OI8vB/R70dVWIjjmX8Qbj/1fPpJwQ9EYvxz\nZwdLyywZp/wF9u6FhBVt/+tfx9w26dLJNHAbd7sRAwGUebnYH/8zwYMHiTmddH372/T/5jfjpvAF\n6vYR6ehg4JFHsf/5LzTfeBO9P/0ZKJWYr7oSQRDQzppF6MgRBrwhLjoiVYB6390w4lhWo4ZL5uWn\ncspB8tnHvV401TWo8vIQA9JnNSn4N51Vxjtfu5CavKxR13dmwp+/s8XJXX/Zzn1/38VnHt/OujH8\n+u819LG0zEK2bvqnRU2EXJOGfu9gX52k4Ffmpg/u5933JWpeeRkhUWmv0OkwLFuG7733Jnz+hq09\neAaCCMTwKHIomjW835Zao+S2B1axcO0sLKKDcEyJ85BUe6MpG9vbMB2csoIviiJ1HS4+cfgtBL0e\n6+23Z7SfRqWgIFs3IZeO0mYlZrcjxscPCrr/9Ty//WWMwsPSBSJlVcRiqTGKtTm16BuktK2i73wb\nIhG8id78pxLdrgCqhIh5QlFWjOHKEePxVO4ygH/HThAEsq+4HPeLLxF1ONLuO9gxMzP3TNKFlnvP\nPaBU4n7lFRxPP4Pzyafo+/kv6Prvb47xmoJEuiThHPjDH+j5wQ8IHj6Md/16slavThkc2poawg1H\naH1vC1XubkSVGu/G0QXnpzcs5c93rkj9Hku8VlVu7rBxfsn/q5WKMTNwKmwGcgxq/ralhUPdHv5t\n7Wy0KgXbmkf/Gzr9YfZ2uFg9a2pmwe5+s5UNTx2ekmPlZWkJx+K4A1J8prnfj16tHDN9VFCpRuTL\nZ51/PqGGhlSn3EyIx0V2vNaCrTSLJT0vAFA6O307alu+9DnsOSh9vtSlsoV/3MQDAdrv+zKddYcJ\nDziYtfd9LNdfhyon895tJRY97Y7Me+OorDaIx4m5Rra0PRbh9fdQiBD7/s+J+/34d+xAYZC+nMED\nBwHJj1/VGQODHuN556G0WgnWT74k/sNKlytITV4WxYmGYGdVpRd81z//ydHLLidYLwlFYOdOtLNn\nk3PLLYihEMG9e9PuazNKX/5jsznSEU0Ivm7uXIyrVuF+9TVczz2HfvkyLDfcQLitbdT9Xt7bxTkP\nrsfT0o7xnFUos7LIvvoqat97j4L/9//I/4/B+gptbS0xlwvl97+JX6VFfcuthA4cJDpKtblRqxrm\ng08KvjInJyXygk6X8bByQRA4ozyH/Z1utCoFt59TyeJSMztbhwu+Jxjh3Aff4oZHNiGKcP7sqRH8\nunc7OPRB15S0NEhW/Sb9+Ef7vFTYDBOe45t1wfkAeDdkbuX3t3lw9vhZuqaM3N7drLVto3ZF+vqd\nvJpcBDFG564W1GVlqR5eM8kpJ/ihhgY869bR/tSzLBxoRBGLkX3Z5RM6RmmOno4JuXQya68Q6e+n\noL6P9nk2Im1tdH/nO/h3bCfrkktQmM2p4Nui3EXUdIm4qnIRFAp0c+cSOvjhEXxRFKdkKHi3W5rg\ntKzSikKAM8vTW0eeN9dDPI7zmWekGQV79qA/84xUattYllm2XkWJGKDdnlmvkki3ZKGrCwrIvvxy\nIu3thJuasFz7cdSlpcTs9hHZQZuODvCVp3YhxGIonQPolixh1nsbKPnhD1FmGbHediva6kGfevZV\nV5Jz222EBSUvzjqP4qs/CoA3gwZfsYT7UJljQZUnibAqL29CIndGIuX1soWFmPVqzizP4UCnm1B0\n8H3d3uKgwxmg3REgN0vLktLjH6bidQRx9QWIhGJ47MefBZWsvO7zhPAEI2xqHODs6onHGTTV1ahL\nSvBuGOlWS4ffJRkQOQVG4j4fZrMChSL9e2CYV4vR14XDq8Jy3XUpl9JMcsoJftJC6q33sjxmQdBq\n0adpbZyOkhw93a5gxnnbqfYK4wRu2156BoUI3s9fR+59X8L1/AvE+voxLFuGbt48ggclC79UV0Bl\nr8AOq4twLExzgUCwoSE1petE88KeTuZ96zU++fvNk+7LAlJGRbFFx30Xz+KnNyzFlMY/HA+F8G3e\nDIKA64UX8G/bTtznw3BmIuNCrR5T8GNOJ7956bvkvPNqRuuK9kgpi6q8PExrLgG1GsFgIPuyj6Au\nkVpuHHu+P33QhNWoYXlWFEWi5bZijOI9VU4Ohf/vv/j953/Ee+d9AsOC+SjzcvFt3Dj++pIuHas1\nZeGrJtiW5NzaXAQBblkh+ZHPKM8hHItT1zH4fm5vtqNUCHzwjYtZf/8FqJTHLxcdhwf7A9k7j79Z\nWNLC7/eGeONAD+FonKuWFE/4OIIgkHXB+fg2bco4MyuQGKSu0wuIoRAK49iFbLrZszF52vCYysn+\n2DUTXuNUcMoKvktVidZYg3bJ0oyrZpOUWAxE4yI9nsw6WaYs/HFSM+2vvESHFRatvJK8e+8l974v\nST02Vp+Lbt48QvX1iJEIwUOHUMVEdtu83P7q7TwR2wSRCKHGD0c75UPdHgSkLKgHX53cnUcyr7sw\nW58aFJEO/9ZtiMEg1jvvJO520/rZz6IwmzGuOhtBoUBdWEiksyvt/qGGBtSxCBX7Nme0tmhPN8rc\nXASNBqXZjPW228i963MojEY0iUZY4Y7hQfT6bg/LKnI4Uy+JgLpIEp3GPi9/2Ji+I2NDj5eq3Cyp\nAGjBwlSq5ljE7AmXjtk8acE/szyHnf+9lpUJazg563XXELfO9mYHC4uzsRg0w1xKx0NngxOVRpKd\nqRD8pIXf7w3x4p5OSiz6Me8Ux0K3YCFiIECkN7MahYBHMsC0CumnMmv0IHkSTU0NJn8HEY2JkPrE\npLeeeoLf24eIgNdYCgolsYWrJnyMZKOuTAO3yXm44ZaxO1+qD7dyeJaeGksNAHn33svszZvQlJai\nmz8PMRwmdOQIvvffB0Gga7aN/QP7aS2UMleSdwAnmn5PiHyTjmvPKGHT0YFJuXeSwzTGGuiRxLth\nA4JOR96Xvoh2zhy0VVVUPf1UKgCqLi4e08IPJy6UNZ2HiWYwcCLS04O6YLC5a8HX/53cu++WzpUI\ntEWGZE35w1Fa7H7mFGRTI0rHD1tzEUWRr/9jL9996QCPf9A84jxH+7w09vs4J5HqqKkol+Ytj+Pb\njjkcKMxmBLV60oIPkDNk6lK+SUdpjp43D/ZwpNdDOBpnd5uTZRWZ1URkSsdhB6VzrRjNGuxdxy/4\nFr0apUKgvtvDew39XLm4aML++yTJ73E0Y8EPo1QrUEQknRitcdpQFFotNXffCEBfq2fMbaeLU0/w\n+3oJ5lYSU0lCEiieN+FjJHuvdzgzC9wqzWa08+alHbAQF+M8VfcEmmAUc2H5sA9kckCFYcVKUChw\nr1uHd8N76BYu5CuXfIv7l93P4jMvI6yG4IfEj9/nDZFn0nLR3HxC0fiIcXzjEYzEUsM0CscRfDEe\nx/v22xhWrkCh11P51JNUPf+vYR1M1UVFYwp+6Kgk+GoxRvdb4wflot09qApG7eaN0mZD0GpTg+5B\namssijCnMIvisPRFblOZeP/IANtbHOSZtPzg1UOpFgpJXtkr3ZVcvkgK9KkrKhADAaK9Y7cJjzrs\nqBLjNlW5uameLMfLRXPy2dxoZ81PN3Dv33YSisY5q3LqBtV5HUFcvQFKZluwFhunxMJXKARyszQ8\nua0NQYCPnzn5zJcJC743gt6kTg0/Gk/wAcquWi31/5EFf2qI9vbhLVmY+t2rHb9E/1hKEgUu7fbM\nA7dZq8/Fv3v3qCPLXmp8iYc3/ACAc+ZeOur+6oJ8jOecg+vZfxLYs4es81azpmINdy68kzMKl9GS\nC+664+voN1X0eULkZmlYWWVFp1bwTn3mcwx63EEWf2cdv1gv5bIXW8YWfO+77xJpb8ecGPSh0OlG\nBLvUxcVEe3vT+l7DR48SqZqFV6XDsV5Kb43E4gx4R3fZRXp6UBeOLviCIKAuKRnsZw6pfuxzCrOx\n+ex41HqOeEV+9uZhisw6nv/CuWRpVTzw0oFhx3qlrptlFTkUJebUasqli1ikdew7xZjDiTKRdSZo\nNNSsfxPLdZ8Yc59M+M7VC3jz/gu4blkpbyZSB5dNoeDvWS+JcuWiXKzFWTi6fMQnUO2bjsJsHTq1\ngt/dvpw5hZllKo1GslL5WMEXRRFH98iLU8ATQZ+lGbM18rGoNUpyioyy4E8V0b4+HFnlxMU4WmUA\ne9+gCMRj8YxSwXRqqbXqRDJ1jOeuhmgU/5YtI55rcjVhCUhuGWtB+t765muukT5s8TjG1eelHj+j\n4AwOlgvEduzB8fTTGa9pskRicb7wt51sODy6kPcnLHydWsmqahvvTKAvy952F+FonPcapNa+Yw3l\nBrD/6XFURUVkf2T0CyVIw2oQxbS+11BjI5raWnYUzIGtmwD4/XtNXPCjd0a0W4gHAsRdLlT5ows+\ngLq0ZJiFX9/tQadWUG41oHP002+w8JfNLexocXDvRbMotui5+4Jq3muQWiCD1D/nYJebyxcOpvFp\nKqXPxmiuwbjfT++Pf0ykp4eYw5Hq0gqS73joDNXJolAIzMrP4qFPLOaqJcWcUW4h3zQ1zdJ8zhD7\n3u1gzspCLAUGrMVGopE47v7Mv2Pp+N+PL+aFL64e1odoMigtFgS1eoTgH9rUxRPf3kJ34/C066A3\njN6kJjYBwQfIKzfR2+qZkrTUiXJKCr5TnU+3Cixzi7F3JnyqwSh/+sb7PPeTnfS3j391LckxTEjw\nDWeegWAw4D0my6JuQwfOrgBFccnyUFrSB5RMay5BYTSiyM5Gv3hwhu4syyxevsRM16Iiur/1PxNK\nHZsMzf0+Xt7Xxef+vJ0PjvQPey4eF+n3hlPZEefV5tE84KfbNZhit7PVQV3H6DUJSbeGXq3EpFWR\npU3foTt44AD+LVuw3norgjp90DA5hD7SMdKtE/P6iHZ3Y547mwZLKSrHADG3m02NA3hDUV7YM3yf\nZA6+Ko2FD9IEo0hHB6FojHA0Tn23h9p8E0qFQKynB685l91tTorNOm5YLrkYbju7ktwsLT9dJ9UR\nvJnoSX/ZEMFXFxaCWk24pXXEOXsefIiB3z+G5/V1xOx2lDnHnyKZDqVC4OGbz+Cf90xdf/ad61oQ\nYyLLPyr1m7EWS+LY33b8Q7znF2czu2Dyln0SQRBQ5ecPq4UQRZHdb0p1F/Vbhlci+z3hCVv4IAl+\nwB3G55z58aanlOAf2dFNXc4afFjoUcYpqTTj7g8SDkZpP+Qg4InQ1+rhuZ/sIjpOoLHUop9QPx1B\no8G4YgW+De+lrtx+d5h3n6hHcdBKYVT6MCjN6b+oCr2evK98hdx770n59gEUgoKFxWfw8I0GVHl5\nOP/xbMbrmgytiYHZRq2Ke5/YSWRIeqozECEWF1PZEckAd9+QjKavPLmbmx/dTGOfF4cvjCc4mE5a\n3+2hxKLnJzcs4a40vV6SJItgxnNXJKeTjebHDzdJ/vus2bPw5koXhlBLC3vapPTAZ7a3D9s+kkjJ\nHGsAjqa0lJjLxfee2sY5D65nT7sz5UqIdnYSz5UszXsvmpVqFaHXKLnr/Co2NQ5wpNfDxiP91OQN\njm4EKZ6jKS0dYeF73nwTZ+LOLnT0KFGnE5V1aoOpozHZ4OdotB10ULbAijlP+rzklZkwmjXUbWgf\nZ8+ZRZWXN+xOsf2gA3unD12WmiM7eokN+S4EPZIPP+7L3IcPUFCZDUBP0+RTmifLKSX4+99upbN4\nNSIqvFkKCsqkL2F3u4P63e2odUouvm0e4UCUgY6xA0YlieKrifgYTWvXEOnoSE3P6WyQRCXuU5Ib\nkW6Nx7LwAay33YrtU58a8fjZRWdzxNeCcOEqvBs2EPdnXgk8UZKC/7VL5+D0R9jRMpiqlxT2pIWf\nnD5kT7hGetxBWu1+PKEoNzyymRU/eJNzHnyLl/ZKYny4x8OcQhNXLCriS5eMHWiMdHaitFpRmsdO\nYVMlLfzOkf2GkoNGNNU1UCIVaXXub8AViDCvKJt9Ha5htQTRbimQOqZLJ5GaeXhPA/3eMJ5glLmF\nJsLt7cRcLnJryllcaub65cMDiFcvkfZ7YU8XW5vso7Yq0JSXD2shEajbT8fX/wPdggXoFi2SeghF\nIigtU+dbn0q6G124+oZ/NmPROK4eP7aSwbRFpUrBkjXldNQ76W4av0J9plDl5zPgVKSs793r29Bn\nazj/ptkEvRHaD0nfhUgoRjQSR2+ahIVfZkKhEmTBP16C7iAWZwMOfQuxUn3qA/avt9+gblcLZfNy\nKKiWrq59LWP/sUtz9FKuuC/z2y7TRy5D0OtTU42Sgq/wa7CFJWEcT/DTcWHZhQDsX5yNGAxOq1un\n1S6NiLtqSRFqpTCsd3pK8BMWfk6i9bDDJwn+9kQ/lm9cPhetSsFNZ5VTk5fFF5/YxZsHejja5834\n9jvS2Zly14yFQqtFmZdLpGtkLn74aCOo1WjKyzBUSkVGnfulgPE3r5yHUiEMm/EabmkBhQJ1afq6\nAE25dBxT+1E+d14Vd55byUctYVo+eSsKk4nz7vg4L3xx9YhGcIVmHWeUW3jsvUYCkRira0emUmoq\nK1KpmVG7nba770ZlsVD661+jmzuHUKIzpnICrUJmio7DDp77yU42PDm8T46zx088LmItGi6IC84r\nRmtQsev1kS6sE4UyL5/tto/x+u/rcHT7aN0/wKILSqhekofWoKJhm+SKCyTadOiy1BMWfKVaQW6p\niZ5mWfCPi6Avijbk5JAQo8xmJDtXR+XiXBQ78zGEssmepcBk1aHLUtPbMrYfP5WpM5EmallGsi+9\nFPcrrxAPBulskMRPEzRgDipApRq3Gi8d5dnlVJmreNnUhNJqxf3665M6TiYkx9+ZdGrOqrTyzqE+\ntjbZ+eFrh+jzSr763ISFnxwobU8KfosdnVrBZ1ZX8f43LuaBjy3k6c+vIs+k5X9fPUgkJjKncOwC\nlSSRrq6Uu2Y81EXFhBND6ofi37YN3ezZCCoVC6ry6deZadlbj0GjZGWVjRyDetgAjVBjE+qy0jGr\nZLVz5xLLL+TC9l1cPLeA/7lqAfHHHyPu91Px17+gnTUr7b6XLSjEF46hVAisrB7pllGXlyP6/UT7\n+nC/9BKx/n5KHv4F6oJ8NDU1kHAXKq0fHsGPReMc3dXLa4/UEY+JdB1xEY/F8TlDBDzhVL69rWS4\nIGp0KuacXUhL3QCxDCfMTTdRaxERlZGuIy7e/OMBlCoFC84rQalWUL7ARtsBO6IopoquUha+SjWh\nAs+Cqmx6W9zEZ3gK2ykl+KFQHHXER0NMS3migdJFt84lrJJEyl3YhSAI5FeYUqPG0lEyweKrJOZr\nryXu9TLw2lsMdPhQqgX0YRNZgUQWwHH4RS8svZBtfTvQrbkI71tvj2rRTgVt9gBlVgPu19fxmZ3P\nUt/j4c4/buXX7xxlZ4t015J06WTr1CgEcPgHLfylZZZhYyQ1KgXXLSvlaJ/0xU9n4cdDoVT8QxRF\nycLPsMGU6eKLCOzYgX/79tRjkd5eArt3S+0RgFvPrmDAko++r4tFJWaUCoFsnXrYJKxwYyPaqrFj\nC4JCQcuZ57O0t4F5GuliETx0EMPy5ejmzBlz348skGIDS0rNo7YaTvbbCWzfjuvll9HOm4d+gdQa\nRFtTk9puIs0Ap5t//ngnrz1Sh0qrYOU11URCMXpbPTz/f7t47dE67J0+BAEsBSONncJqM7FofEpy\n8qcCny7RjE6A3hYPs1cWpPrbl87Jwe8O4+j2p9oqSD58HwrjyBm6Y1FYlU00HGdghl/3KSP48bhI\nJKpAFfVh12SnpgOJ+giv1f6ezeUvcCQs3Q7nV2Rj7/QRCacP3CYt/Ilk6gAYVpyFoNfTvkO6Tc2f\na0QpqtAE1Cgtx1dOfUHZBUTjURquWACiKPVYn2JEUaTV7meWJkLXN79J8Tsvo4zHUk2hXq3rQqtS\nYEpk1ygUAjkGDQO+ML5QlANd7mHDtpPcsFzynysERu3TLobDHLnwIpxPPQVI/W/EQCBjC996xx2o\nCu5vsEkAACAASURBVAroeeiHqTbV3vXrATCtXQtI6bZli2ZT7OtnaaL83qRX404MRhFjMcLNzanB\nGKPxnRf38/m/bOed8mUoEYm98TrxcJhwUzPa2bPHXWdlrpGbV5RzxzmVoz5vOOssNDU19Dz0Q4J7\n9mK+8qOp54YKvnIGgraZIIoi/W0e5p1TxG0PrGL+udL7tePVFhzdfjobnLQesGPON6AaZR5xfkUi\ngHkC3Buj4ROk7+jCxRoEhcCSiwenUpXMkS6yHfWOQQs/kaUz0Tv3gqoTE7g9ZQQ/lBhuIRLFbDay\ndr4UdGt2NdNlPsrukvXU2+sByK8wIYpjp4SZdGrMevWE2iSDZP1pKivp7AWVWoEpoQFCUDvMf394\nazeNuzMvWAJYnLcYlaBin7oH66fvxP3ii5Mey5aOfm+YQCTGqjefJO52gyjyv+cV8Ow952AzSsMm\ncrO0w6wZq1GDwxdmT5uTWFxkWcVI67Mq18iqahuzC0yjDiKPOhzEHI5UZk4y40aVgQ8fBjOcgvv2\npeIbnjfeQFNZKblCElQsnkNOyMudSyVLLlunwpUQ/EhnJ2I4jLa6Ku15Njb08/r+Hp7tU9JbXI37\npZek1g2xGNrZmVW7/u/HF3HN0tFjBIJKRf6//VsqPTT78sFOr6qiIoREK+0Piw8/HIwRj4nkFBlR\nKBUYsjXkFBpo3tuPUiXJS2+zO5WGeSzZuTp0RjW9HxLBd0d0KKMBlpS7ueMH5wwLNGfn6siyaiXB\nH2bhe1EaM3NTDh5Ljy5LPeMXulNH8H3SbblPFLnvklkYNJIF2uiS0vLm2+Zz0C71oklaFeN9yEpz\n9LRNoNo2iaayku5oAaXzrIQN0kUlFlKnUjLFuMi7T9Tz6m/3sWtd5gErtUJNRXYFR51Hyf3c5xC0\nWtyvvjbh9aUjHg7TavdT42wnb+M6dIsXA3BloYLZBaZU29m8Y4ZL5Bg12H1hjvZJr3VeUfaox//V\nJ8/ksU+dNepzydbSgd27pYBlwl2lLk4fPD0W80evQGEy4Vn3BlGHA9/WbZjWrhl2cUq2ZDDbE4Kq\nV+NOpI0me+6ks/BFUUzFdOIiBM4+j+CBA6kOl+O5czIl66ILMZ57LsbVq4fd4QiCgLaqCtTqjAOE\n003APSh8SYpnSxej2hUF5JZJQnhswDaJIAjkV47vYp0pXB4Bg7+HaF8vRsvwz7kgCJTOyaH9sAO/\nO4xSpUCtVUqVzxNMxhAEgYKqbHoSxVzvPlE/IS2YLKeM4CevuE5jFjedNTg6rMnVhFJQsrZiLb3+\nXuxBO0aLFpNVR3t9+ilJIN1+J0emjYUoihzY2JmK3AeK5hBUm6lcYMGrkd7QSHjQpeMeCBAOxsjK\n0fLBP4+MWradjhpLDUecR1D8f/bOO7Ct87z6v4u9iEWAe5MiJVHUlmXLki3b8ortOE5ix3Vmmzir\nSZvlumnSrDZJ04w2abO+rNZNbMcjHort2JEdLy1bew/uPQASewP3++MFQIITpCg5UXL+kQhcABfA\nxbnnnvd5zmM0om1sXLTBKImREc5suITg//yc9514BsxmSv7582Lf0+R7aXqRcTLh2w0axkIxesfC\naFSKbAXPZNiNmqxVNuX109HSydFR4j09WYWfiSPOB5JGg2nrVgIvvIDnoYchkcgODM8gQ/jxdOmj\nWafOTkuKtneIbWqnV/hjoTjheJL3baphY62dxluuB2D0vv9DUqtz8n3OBZIkUfnjH1H54x9NuU+3\nfDnqsoUHhC02woHxxcsMqpaJ42T5plIa1omehJkUPkywWKPnPmNhoTi0o5vhLh8edwxjdCR7fExG\nRZONaDBB24Fh9AVqJEki6fUsyK4trjEzNhQi5ItxcvcAAc+5zweYCxcN4Yf6hD0SKSlCoxp/Wx3e\nDioLKlnhEPk6GVunpqWQ3pOjJGbx8escRnpGQ8TSFQTJZIoDz3ZNOTC9w2H+8MtT7HlCKMQhVTXI\nKcpsEbxKoVyjyXFLZ6RbKOG11wuC8I7kfxXRYG2gL9BHOBEWg1FOnFyUFu1oWztyNIrzgZ+yfvg0\n9rvvzlabZKKHMwrfYZpe4feOhamw6mcdAjETJkZLhw8dIt4/gKTTzVs5FVxzDUmPB9cPfoBh40Z0\nTbm+uqayEiSJ6FkRQ2zWq3IUvtJmm3FBNGPvbaov5NcfuozaS1eLzszhYTT19bN2A88Xkko1bVxC\n0Wc+TdXPfr5or3OuyIgcvWn8vdeudnDXlzZS2mBl2aYylmwopnLpzGsORTVmZPmNCxSLRRLsfKSV\n5352nOBYFFuxgbEHf43vmanzE+rWFlG13E5gNJo9ySU881f4ACW1FpDh0O+7ScZTVC0//wPiLxrC\n958V3Ymxysqc2zu8HdRaallqWwrA64OvA1Cz0kEinppV5dc6jKTk8Uak/rMedj/WRufR3LgBV68g\n8NN7BwkHYvR5DJh9naiGuxlLuImqQkSVxqylM9LjR6GQqGoWP4LAWP61/vXWemRk2r3tdBZD0usl\nMTjz8OnZIMfjBF55lX976gT/75Fd4r0UVzFscuB897tQ6PUobTbi6WakhiITVU1PUuhsy3keu1HN\nWChO92goW900X2QUvqTREDp4MF2hUzb/UXVbNiNpNMjRKPb3vHvK/QqDAe3SpYT2i1nCZp2aWCJF\nJJ4k2tE+64Jtxs7JvEdJkjBeITKP8vXvzxVKiwXNLD0CFxpZwp+g8CVJwlYiFL3BrOG69zejM818\nMiyqFlVbbxThjw2I37d3WHy/Ve+5Df2aNfTd8w85TXAgws9u/vgqrr97BZve1oAsyyQ93gURflGN\neN9HX+pFqVJQNss83MXCRUP4gU5BeorG8R9sIpWgy99FraUWq87KVZVX8cCpB/BEPJQ1WlFplXQe\nnTnaN1Pp0+ESlkvmgJgc+OTq9SNJkIyneOI/D+EaTlDkOkS0owN32E1CHSSqsWQv+1w9fmylRgoK\n9UgKicBY/pdyDVahup9qf4pveX8DQO+B/OdwZpAKhej52MfouftuXM/uYKRNnDD/4aq/58m/+yYK\nnegMVpeWEh8YwLv9t7S+9Ta87MSnOJDzXDaDhmRK5vSQf9bh2bMhOepG0mjQr1tL+MBB4n19eTVd\nTYbCaMR09dVoamsxbd067TbGSzYQPnSIVCyGOT3g3OsNED19JlsW+YfTwxztze0AzSj8iXEIpivE\nLFRdHhU6FyPGLZ2FX90YzBrUOuW8rnQXE+503pbJlu4tqbZR/p3vgCwz9uCvp2wvSRIN64qoaLKJ\nWIV4fEGErzWosZUYSMRSlDZYUGvOPQBvLlw8hD/gBjmFvXjcSxsODZNIJagsEKr/42s+TjAe5GfH\nfoZKraRqmZ3OI64ZLZFxwhcHROaA9LtzCdrdF8RWaqRyuR13b4CWrRVUh48S6+xEf7wTlSJETGtF\nabUiyzIj3X6clSYUCgmjRUNwHgq/0lyJSqHigZMPMFyiIwX85unvEE3OL4jpwCc/S+Blsdio7u3E\nGRojUmBlICJzWfN4JICqtJRE/wC+p54icfI09QPQH8jNrMnEK8QSqWy2znyRcI+iLCzEuGkT0dOn\niRw/nndJ5mSUff1r1Pz6wRkTJA0bNojB50ePYskQ/nM7SPn9FNwgfPl7Hj7MPz9xLOdxfWNhCnSq\n7GMATFu2YHnLWyi4/voF7eufOsL+GGqdctqSy3whSRIWp/4NI/zRgSBKtYLrPrCCxo3FWIv0qIuL\nKNi2De+jj5KKzCzIkh7Rl7LQDvpMeeaFsHPgIiF8WZaJjAWRUzGKJ8TtjkWEXWPXCetkiW0JN9Xd\nxIOnHiSSiFDdUkjQE52x6cNq0GA3aiYofKHw/G4x7/b/dnfiDcdx9fopLDdx9buXcfPHVnHFnY3o\na6rw73ieO793lIquQaHwLVZC3hhhfxxHOufHZNMSmEdqnlqhpsZcQ0JOsHXpjcjlxRT2+ni6/em8\nHn927Cxvf/LtxPftYW/NWnA4KfWPUBTy0K0SB9+WJeMZL5nhIqEDQtW3dMr0BnIDrzLxCpCrfueD\nxKgblc1G4V//NWXf/HdMV121YBJV6PUozdNXCgEY1q8HSSK4cydlv/whl/cdIfb4b1BXVmK87DJG\n/FFcgRiHejwMeMdJqHcsPOX9KfR6yv7t62Jt4M8QIhP+3NcuLE7DlAyeC4XR/iD2UiOl9Rau/etm\nFOmmQdtdd5H0enMq4VLBIGMPPUQqLI6LpPfcCL+0QTyuasWF6au4KAg/3tdPXFYRI0XRhAqS0Yjw\nhTOED3BDzQ1EkhGOuo7SZxGZH23HZvbAax1G2tMdohkF4nNHeHh/L//8xHEe2tVJYDSKo8JEbzTK\n61Gxjaa2hpTXi88oYQiOEdOaUVgsjPQIn9JZJQjfaNXNy8OHcVvnjsY7sLasZsmIivtO3JfX4u33\nD32f/r5TWIM+jhpKGCsspTw4Qnncy5DeSlNxAcXm8Qx0dWkpqWBQ1OQDLZ0pBoODJFLj3an2CaPy\nKheo8JNphS+pVFhuuYXKH/4A0+bLF/Rcc0FptaJtbMT1ox9j3P4In3/9PpRHDmC9/XYkhYLTg+Ne\n8rMTjo3esfCMVUZ/rgj7Yzn+/UJhKdLjd0UueNQAjBP+ZBgu2YCmthbvk09kbxv8l39l8AtfZOQ/\n/xOYoPDnCPibCUsvLeGOf9pAYdn86vgXiouC8FPBIBFLCQGlIoesxqJC4dt041UXq4tWIyGxf2g/\n24d/g0c3zMGDZ6Y8Zwa1DiMdriCyLOPLWjph/vP34jHHTog1gMJyEz98sY17Hz1CJJ6kYNs2jFs2\nc88H1CjVfmRJyVhYR/fxURGelK5PNtm1BMYi86q0eUvDW3jXsnexwrEC3fJm7KNxBvvPsrt/95Rt\nE6kEKVn8iM6MneH57uepGRKv1W4t5whmKgIjOEMehvXWHHUP5EQbHFtloakXVNEEw6HxQLVFU/gX\nsHvUsPESSKVQfPCj/KFiDUmjCetbbwPIpmeWWnQ8vL+X23+0i08/dJg+T3jBltXFCjHmbxEI36kn\nlZLxj17YjPhoKE7QE522bFSSJAquuZrQvv0kA0F8Tz+N9/HHUZeXM3rf/xE+fPicLR2FUpEVfxcC\nFwXh65oa8ZXU4lGpc2rEM5bORMK3aC002hrZ3b+bPQN76LOcIdKjIBaPT3leEIQ/7I8yMhIiEU9h\nLzOSTMgEvFGWlZoZTlcWOCpMHO31kkzJtI0E2OVo4t6N72LMkML3jgokUrS3Rmk7OEx1cyEanWgM\nM1m1JGIpoqHEtK8/HS4vv5x7L7kXSZIwrF0DwJohPb/rnNqE9Z5n3sPX934dgJ8e/SlGtZGtYVGx\n1G4p5LTahjkWQhGLYqgonzITVJXOhVeVlvLU8giqFCztkekLjEcRZxS+Tq3AYZr9x5/0eul617uJ\nnB4/ycqynFX4FwrOj32Myp/8BNvdd/Pv69/Jof+8PzsU/fSgH4dJw+3rKzne7+Ngt4dHD/QSiCb+\nQviTIBT+uVs61iLxufousI+fsXNn6hMwXnEFxOMEXnyRwa9/Hd3KldQ++giqoiJGvvvdcyb8C43z\nTviSJN0gSdJpSZJaJUn6x/P1OolIgkRBK5/fdW/2trHIGCqFigJ17hl0XfE6DgwfIJwIU77Miiqp\n4bnXpq90qXeKA+HUWWEPWWvFc11TWciHrqijMCKj0itJaCXa017/mSE/TxzuZ09HOtxsXQNVLU6O\nvdxPyBujft14LK7JJq5I5mvrZKBbsQLUaja7Hewf2p9zX7evm6Ouozzf/TzRZJQXe17k5rqbqRnU\n4i6AghovfabxffnA2y9jeVmu951ZOJVXLeNoeYKUUsHS3lzCN2iUaFUKKmyGOcsoAy+/TGjfPoI7\nxwe+p4Ih5GgUVeGFU/hKsxnTls3ZADNvYny/Tw/5WVpi5l0bq3jnxiqe/eQVrKoUP+gKmwFZltnZ\nt5Nk6o1rFPpjgCzLYgjIHCf5fGB2iCvDC+njB73R7BSrmQjfsGYNioIChr7+dZIjLoo+9UmUVivG\nLZuJnD5zzpbOhcZ5JXxJkpTA94EbgeXAX0mStHyxX6fH30MqFiGqHWBH1w6CcUG8Y9ExbFrbFBJa\nW7wWAL1Kz0dvfB8pUnQ8mOBXX9xDLJyrtFdWiB/6yTThPz0srhruailjhdVAU1yJXG3keP94a/ip\nQT+Huj1ISrG67w8rWbK+mGQ8hVKloKZl3DbJlILNpzRzIhQ6HfrmZhq643T7u3Oslpd7RabMSHiE\nh04/RDgRZkv5FszdLrqcCirLunMIf2JVjDfq5dEzj/Jbz6sU3HADg1ctJ6aWkGwWbEFyCF+SJOxG\nTV7+fSaGINbTTSocpv0tt+H77XYAlPYLp/Az0KmVaFSKbPNVMiVzelAMaSky6/jqbS3UO018+/aV\nbKovZG21lSOuI3x4x4d5te/VOZ794sNAm5eXHzyDLMtEQwlSKXlRFL7RokGlVuC5QAr/9J4Bfvn5\n3Rx/pZ/K5XYK7NPP7pXUaoyXX07S7Ua3aiWGjRsB0bGddLuJ9/ahMJkWtenufOJ8K/xLgFZZlttl\nWY4BDwK3LvaLJBMpNEktKmUFSTnJweGDgFi0nWjnZLCueB0Am8o2YbOYGVxxBI+1H89QKLuomkGZ\nVU+tw0hPtx8U8LthcUZXhVP07h5GRuKwKZWt2S6z6Hj1rIs+T5i3bxBk+tIpP7WrHOlMbXvWzoGJ\nhL9w71K/di2m9iHUCZkDQ+M18i/2vohDL04uPzr8I9QKNettKzEN9dPjcNIT282g0YSsECV1GcIP\nxUPc8OgNfGn3l/jS3q9Q8I0vcagyiUJSoCl04oxop5RmfvLaRt6/WdSwe596isCrO5kMOZUisFM0\neMW7e4ieOUP01ClcPxQRAhdS4U/ExHiFLneQaCKVHVmYQUNRAffffSlFBTraPaKjenK10p8Dzrw2\nyNEXe4kE40SmiVVYKCSFhNmpz/a6nE+c2NnPjv85SVGNmb/6wkbe/HerZ70yLbhqKwCOD30ou10m\nRiN85MifjLqH80/45UDPhL9707ctKoqUYmGx0LAMlUKV7aYdi4xNS/gOvYPPrP8MH1z5QQDMl8R5\nvvaXADmjD3/X8Tte7n2Zy+oLCbrDxLQKdHoVugI1XUfdnNzVT7RSx/Odbp4+OkC5Vc8ltfas2l9Z\nKcj8UFcIWSXxlk+u4Yo7cxt0DGYNksQ5DTQ2rFuLFE+wfFjLviGRBx+IBdg/uJ9b6m6hxlyDL+Zj\nffF6FF39KFNJwiWb8MU9fPL2AJrKipwYg8HgIIF4gJvrbiYlp9g/tJ/d/btZ6ViJprAQe0RJrz+X\n7O5YX8nmJQ78L7xA/2fuYfg7356yn9FTp0i6XEg6HbHubqKtomM3kwz5Rih8SMcrpBMzMxO7lpbM\nvJDW4xeH9FBw6Pzv3B8ZPEPCcvGNRAj5pwannQsuVC1+2/5hbCUG3vyJ1bNm/GRgvvlmqh+4n4Kr\nr87epqmuASDW1vYn49/DH8GirSRJH5QkaZ8kSftGRuYXF5xBJjjNYtLR4mhh36AgvbHIGHbt9Krx\nvc3vZXmhcJfqrHW4FUOo9QpG+8cjk//70H/z48M/5vJ6B/a4RFc8zs0rS7E49Ay2ezFZtdzx3hXo\nVAoO93pZWWGhqUR44CqFhDN94g9G1LxyxkVJnSXr2WegUCowWrUERhcenKRfKyyqK8eK2TOwh6fb\nn+YfXv4HEnKCKyqu4NLSSwHYXL6ZaGs6Q6ZhC6udq3my8340DfVoqqqy6sUdEZVHN9XdhE6p49nO\nZznuPs6m8k0obXbMIegPTjMwvLeP/s/cAwoF0dNnpszdzah+801vIt7fPyX47Q1V+JE4Z4f8/Mtv\nT9BcZp4x8ROgyye6kgeDC4u0+FNGlvBdYSITMuEXA86qAsYGgux8tPW8lWfKKZnBDh9lS6wolfnR\nn6RUYlizJuc2TdV438VfCH8cfcDEjpSK9G1ZyLL8/2RZXi/L8nqnc+qMz3zgazuIRgpSo+pmffF6\njruPE4qHGIuMYdXN/WXUW+pBAo1Dzip8WZYZCAzQ5m1jTXEB9pSCflWK29ZUULbEirOqgLfes47q\nCjP/fLM4cbRUWLLj+5aXmYmlhFoxqU08dXTm6VQmmw6fe+GEr7LZGKnfSo2/hC5fF/e+ci/HXMf4\n0MoPsbZ4LdfVXIdOqeOqyqvwnG4lKSlwLm3gAy0fYCA4wKvvWEbF976bfb4M4ZcYSlhbvJZnOp5B\nRubysstR2u3oA3GGgkPEk7mVTcHdu0iFQhR96lOQTBI+Ot6pKssyvmeeQbd8OYa1ayGZJPjyK2ib\nmlCmq2PeqKEeFr0abzjOR391AK1ayU/esz5nYtdkZBV+6M9L4cejyaz16HWFF13hr72+mpYryzn0\n+26O/GFx7bKz+4Z46YHTjA4GiYUTlNSdmw2j0OuzFWx/SoSvmnuTc8LrwBJJkmoRRH8ncNdiv0iq\nvJS7i2/miP3zlJZczk+O/oTXBl/DH/dPa+lMRp1FeM9Rq5/4WQWyLDMaGSWWihFLxRjqFmQdt6pZ\nX21DUWtHluWsIn77ugr0GiVbGpwEYsILXl1pJRgXB+3VjZX8/tgQsUQqJ8kzA2uxnu4Towt+/2f3\nDXG08naciV5+ct0HsWlt1FnqUCvFD3FDyQb23LUHpULJ/pNnGTPYqS6xckVFA1srtvLtrl9wScsN\nZCaxjobTDWt6O5eUXMKu/l2YNWaaC5sZs+9EFY6hTCjpCfRkPzsQvjxqNZa33MrwN79J+NAhdMuX\ngSwLv/7kSUq+8mXU6a7UWGcn5ltuwWi34fvdsyi008cqn2+Y9WpebXWRTMl8+/ZVlM3SXCXL8p+t\nwvcMj1+xZRS+Uq3IjgA8VyhVCq74qyb6Wz10H3ezelvV3A/KEx2HXWIAebrd5VwJH8Tci8Tg4J8U\n4Z9XhS/LcgL4GPAscBJ4SJbl44v9OklDESHJQFm8h9XO1SgkBS/2vAgwo6UzEVadlUJdIaP6fmIR\noWIm/pjbTvcjKeCrf7M2G/07cZFHkiRuXlmGxaCmzKLjk9saefel1QTiwh66vK6cQDRB9+gMEQ7F\nBkLe2JQKoXwQGIvy0v2nUZBkRFHOcvUqmuxNWbLPQKlQEkukGDvdistewsZaO5Ik8cVNX8SkMfEv\ne/4lu6074kYhKbBoLGwsFVUJl5ZeilKhRGkTn2dBWCSRZiDLMrGeHjRlZagKC9HU1BDat4+ud76L\nthtuZPhb30ZpsWC55Zac3HhtfT3OT3+a2t88Ou/3vlgw61QkUzJGjZIbW0pm3dYdcRNKhDCpTQyH\nhrNNbX8OyNg5Gp0SnyvMcLdPZELlaY3ki7JGGwNt3kUdbJ6JND/2ch86kxpL0bn3U2SO478Q/gTI\nsvy0LMuNsizXy7L81fPxGo0lZgxly3BEujCoDTRYG3ilV9TV56PwQcQOd6vPAuDuCzAQHLdgXJ1B\nCstNLK+a+4uVJIm/37aEJcUFhOIhVJKKJU6xD5kh3pORGe48UUFNxuEeD48f7Jty+8ld/UTDCTYX\nn0UixbGXp26Twc9facXpGaJ+7fLsmEGH3sF7m9/LgeEDWatiNDKKTWtDqVCyzL6Ma6uv5Y6mOwBQ\npn12SzCX8N/3u/fRdeq1rHrXr15N8JVXiJ4RDVbhQ4ew3nG7uBR2OpHSal67pAGFRoPqAjZdTUYm\nMfNNLaXZSWkzodsn4nLXF68nISdwh2dOW73YkCH8iqV2vMNhRnoCOKtnXutYKMobrSRiqUUdezhR\nTJXUWRZlgEyW8OdTpbP7B9C3f+7tzhPe8EXbRYOjEVyCsFscLQyHRT16voRfZ6njZEqUc57cOUDH\ns0GUSTUGpYH4oGpBl4CBeACD2kBdkfD12+ci/KGZCf9nr3Zw76NHiCaEUkmmZB54rRuXK4TWoKKg\nTIfDdZSTO/tnVEYvvnwUTSpBw/oVObdfXyNCyp7tfBYQlo5dL4hdqVDyna3fySr9TPxBVcqSJfyx\nyBgHhg+gGRwlWSr8eP3q1QCYrrmG2scfo/DuD2D/m78BxNxfdaXo6J04mPuNQqb56m3rKubYErr9\ngvA3lIhRjRe7jz9xQJBnOITJrsVeZiQwFiURTWaz7BcTZUuEsOo741m054xHk9kS6NL6xSmj1NSk\nCd+Wp8IPjcKzn4VH/gbik9bsJv99nnAREf4S8PVB1M8q56rszROD02bDEtsS3IygsUi0HxohdqCA\nVa4rWa/ajCKhwlljygkMywfBeBCT2oRZp8Zh0mZjlifD6jSANDvhjwZjRBMpjvV5SSRTfPqhQ3z2\nN0fZf9aNSqfiS3tdFA+9TiSYYLhr+kESqj6h4LWTRviVm8pZ6ViZJXx3xD3j55axdGpThVnCPzB8\nAGNYxhSB41qheAuuuZqCa6+l5POfQ11URNGnP50zSUpTWYWk0WSvCN5IvHl1GZ970zIuqZn7WOn2\ndaOUlNnmvYvZx4+FE/z8nlezV42ewRDWIgNmx7gdUlS1+Apfb9JQWG6k78zsI0jng1gkQWm9hVs/\nuYaWrXOf2POBftUqtMuWiW73fNCX7pEZ64Rd38u976fb4NEPLMp+zYaLiPDT9e3uVlocLdmb81X4\nb6p9EzXmGp5s+j5X/X0toSIXK/uuYsnJzcSUEb7a91k+89Jn5rVLwXgQo0bU+dY5jTMqfKVagblQ\nNyvhu4OiIuK1jjG+90Irjx/qZ3mpGY8nynAkRq/GgtUrrnD6ppni5YvEcYwKm2q6qU7X11zPqdFT\ndHo7GY2Mzkj4Krv4PCsSZjq8HciyzP6h/VT4hUp+PnmMeCqOyumk4r++N+MQE+sdt+P46EdmzKy/\nkCi36rn7irq8RjN2+7spN5VTbhLtJPkQvizLPPWDI7QdGJ5z2z8meIZDxKNJXn+qg1gkgWcohK3Y\ngMUpSotVWiXWkoWF5c2F8kYbg23eWUeQzgexSBK1XkVFkw21dnGOOVVhIXWP/WaKgJoRffsBv93h\nuAAAIABJREFUCZZcB698Wyh+gFQS3GfBVLwo+zUbLj7CHzlDnbUOk9qEhIRFk9/lm0lj4rtXf5dh\nbQ8/H/4+bbV70UVNqIcs7Kp+jCPBg7R72+e1S4F4AKMqTfjp1M2ZYC02MJYm/EQsycHnuolFxq8o\nRoOiHG5Xm4v793axbVkR973/EvRIDEfjuAxWNPEgVkNsWmU04IlQERghaSxAOc3M1muqrwFg98Bu\n3GE3hbrpPXWF2QxKJcUxHZft9TGw5w/sH9rPhqRQ6mcMPk655x6sXnDVVTg+/OE5t3sjEU/FebXv\n1WySqSzLHBw+SJO9CavWilapzcvS8bsjdB5x0XtqdsU62h+c9aR/oZFpggp5Yzz89X3EIkkqltmz\nCj8zxOd8oGpFoRhBOsdnli/ikQSaRSL6BaNvHziXwpX/CIkInP29uN3bI/52nP+paRcP4dtqQVKC\n6wwKSUGzoxmr1opSkf+XXGep49aGW3mx50WOaHcTKx/F2ayjtWQfNeaaeS/QBWPjCr/WYcQdjOEN\nTZ/KaS024BkOC1L5fTe7ftNK636hCGVZZjSt8F8568IViHHXxiocJi0OrZqYAu64poWoQoVFcosK\nh3iuj9/v8rJstBMqq6ZdsCozlmHVWjk0fIhQIkShfnrClxQKlDYbdneM9z+XYvBnP+HU6Cmao8K7\nH7ZcPJEDL/a8yEd2fITjblFYdtZzluHQMJvLNyNJEsWG4rwU/mC7iN3IjAOcCU//8AgPfe317PZv\nNDKjPB2VJjxDITbeWkfdaidGixaNfmHrWvmiosmGRqek/dDCmjEnIpWSScRSqHXnuwp9Fsgy9O6D\ninVQtgYKSuHUb8V9I+nkWGfTed+Ni4fwVRqw14JLfHgfaPkAf7v6b+f9NDfU3EA0GcUf92N48yi3\nf+wy9r5zL2+qexO+mG9Ks9FsCCaEhw9Q50wv3M7k4xcZSESTDHX4OPicWBgcaBM//EA0QTwpZ9v9\nSy06rmwsAsAkKbhudRnXNpcwYrCh87STjKcYmlDhkIrFMHz5s9T5BjC+4x3Tvr4kSSy1L81m6s+2\n9qGy2dC8dgyFDOGTJ0jJKSp9ahR2OxGtNCV24U8VmbygU6PiiiUTlnZ5mRjMUmzMk/A7xHcRSZ+0\np4PPFcY7EiYZT7H9vw6fU9TGYsHniqA3a7jhgyu49v3LWXeDWKSUFBK3f3Y9699Uc95eW6lSUN3i\noOOI65y7buPpK2WN7g1U+GMdEB6F8vWgUEDTm6D1eYiHwXVabPMXhT9POJpgRPw4Ly29lHcsnZ7c\nZsPqotUUGQSZlplKkSQJjVKTtTgyU7TyQTA2TviZ+bgz+fjFtWaQ4NF/308ynqKwwsRgmvAz6v7G\nFaVIErxjQyVKhZRNLHTYdSwtKWBYb0U3cBQk6J3g4/uffRbz0X389+q3UnnH22bc32X2ZdmhMTNZ\nOoDIrQ8J9Wd3x9hiW4/FFUFbWYlD77hoFL4r7AKg1SPiKF7pfYUmWxPFRuG1NtmaOOE+gTfq5cCz\nXTz1/cPTPs9QWrFHZlH4Geviync2EQsnGOx441W+zxXGXKjD4jTQuKEk58rQWmTICQE8H6hb7SQS\niGeFT15wnYWR0zk3xSJiHeB87+8UvP5TuO8taXWfLsWsWC/+XXoTxIPQ/pLYX4MDDOe/0/ziIvzS\nVeILj/ggmYDEzIpqJigkBddVXwdAiXG8CWchhJ8pywSoshtQKqQZFX5RtZm337uelqsq2HzHEho3\nFOMZChH2x7ILtisrLDz+0cv56FbRExuPJpFTMlqDmgKdmrDNgXa4h+IaM+17e+j56N+SCoeJHDtG\nQq3h4IorUc3SJLOscFn2/7Mq/PTCrawRC7XfKv8YsbOtaGpqqDBVXDQKPxM1fXbsLIFYgEPDh9hc\nvjl7/831NxNLxfhdx7McfamXzqPuKaSeiCVx9YjvPOyfmfB7To1isGioWy3iRXyuC1OmNxt8rnBO\nRc6FRlWzHYVKoutYnlZqLAj/+2Z4+H05N8fThK++kAo/NAo7vgztf4DBo9D+ImjN4Ez/xmq2iL+P\nPyY46wLYOXCxEX75OkCGgUPw3Ofh59ct6GnuXHonWyu3ZsPVgKynnS/hp+RUtiMTQKNSUG7V0z06\ncxpgcY2ZK97RSMvWimyt8ECbl9F0OJzNqGFVpTUbzxAJCgLRGoVyUZaUYgp4qF1mwj2SYGTXYUL7\nDxA5cZJBRyUl9tmTAZfal2b/n6nDnw6Z0kzbrSLp2vPwIyRHRzFu2UJFwcVD+CNh4R+fHTvLq/2v\nkpATbKnYkr1/uX059ZZ6Xji4k0B6NN9kZT7SEyCVkrGVGIgE4tOOspRTMr2nxqhcakdrUKHRKfGf\nQ7ZSPpBlmaEOH6nU9KM1k8kU/tEoFucbR/ganQp7qRF33/QiaQpe/U/w98PwCQiOnyRiWUvnAir8\nV74NsQAgwcntwq9vehMo0/ug0sCKt8GJx8X+OpZckN26yAhf1EbTuw+OPQrutgU9TbW5mv+6+r8w\nqscJMqN4M8FicyEUF9UWE5+j3Kqnbyy/KgxndQEKlSQIP63wC425mSWZsYg6QzpGYdMW4golqu9/\nDoBh5xpCr71G5ORJ2qzllM4xgLvaXI1eJbaZTeEr0wrf8pa3oDCb8W7fDkolpi2bqSioYDA0OK+1\njtkwn1m/i42RkCD8segYD556ELvOzmrn6uz9kiTx5oY3E2vVggQKhZS14TLoOSkEQnWLg1RKztoL\nE+HuDxAJxKlYKob1FDj0+NznNyb40I4eHvnGPp74j4PTDt8JjEaRUzJmx/SDQS4UCstM2TGEs8I3\nIGrbMwq6e5ewUlKpC6/wQ6Pw2k9g1V8JC2f39yHigeWTRoGs/2tRnRP1CTv6AuDiInyDHWw1cOB/\nITgsPshFIp4MAWaCxeZCZurWRMKvsOnpHcvvh6xSKymqMjPY5mU0JAjfPpnwJyn8knWr+N7qt6Pp\nOoE5NoirahPeJ58kFQhw1FBCmWX2H69CUtBka8KgMmSJfzqYrrgS8803o1+5El1jIySTGNatQ2mx\nUGGqICWncqIpFoon257kyl9fSSCWp8JbZAyHhmmyiR/i/qH9bKvaNqXqa1vVNmrHVqIuj+OoNOVU\n2HiGQxx8tovqlkIKy8VxEAlMtRkzhFZUI5qYzIW686rwPUMh9j7ZjrOqgOFuPy/cd3LKNpkKnTfS\n0gGyXb2Zq9kZ0b1LkOeb/wtUeujcCU9+HH5+PbGQ+CzzXrQNe86t87XtBUhGYd1fQ+MNwqvXmKD+\n6tztSleJih0A5/lfsIWLjfBB2DpjneN/hxenPduoNqJVavNW+BnCz1g6IOahDvuj2XiEuWAvN+Id\nCTEajKFVKTBocg/YjMLXphV+rdPIjqoNDHzyCzRduwyvuhivTyjkUwXllFrm/vFeU3g9V+lvnHUb\nfcsKyr/1TSS1Gu1SYQOZrrpKvMcC0cV4rraOLMvcd/w+xqJjvDb42jk910IQjAcJJUJsKtvEpo7b\nWN9zI9uqt03ZzhixURgqI141SkmdhaFOH8lkCp87zI5fnEChUrD1rqXojOI7mq40M5ydHCW2MRfq\n8bnC5+XqJplM8fz/nkClVnDTR1fSsNY5rYL+YyJ8gNGBOVS+6ywgQckKqNwAxx6Bg/8Hva8RO/4c\nMA9L52fXwYtfW/hOn/096O3CcWhK/5YabwD1NIJr40dAqYXilqn3nQdcnIQ/EeHFadyQJAm7zp63\nh59JysyxdNIzX/s9+amHAruOsD/OqDdKoVEzpX5+nPDFgVxTaESS4Gj9elpubkalgo6am5FVKrrM\nxZRZ5748rzixloZXr57R250M/ZrVoFZTcI1QLxWmNOGfY6XOidETnB4T1RaZUtELgb0De7nmoWs4\nMybKexvtjdR5VtLoXs/6kvXZ7dz9AWRZpv+EUPQuZycl9RYSsRTP/PAov/rCHkZ6/Gy9qwmTTZsd\nEjJdpU4kEAdp/MRd4NCRiKVmXeRdKHY/2sZgu48r72rCaNVSYNcR9MWm5C/5XGEUKgmj9Q2IrI54\nISX2p7BcCKbRuXx811mwVIJaD9WbITgCehs0bCN+8gUgT0snlQJ365RKn7yRSkHrDqHmFUooWg5X\n/zNcMUOX/qp3wD2tUHD+u2zhYib86nQ1xSIRPohKnfkq/MmWDkBfnraOuVAQdHAsgs04NXM8c5mb\nUY86tZIyi552VwB9gYZVV5YyXLSW9ubb2RjVUWya+8frGQ4RDSVw9+Zno5hvvJGGHTvQVInscqfB\niUah4eToyWzD0kLw2NnH0Cq1rHauZs/AngU/z3yxd2Avw+Fhnul4BgCnzokpbsUcLkSOiRPucJeP\nB7/yGqf3DtJ13E3Y6KVf1UlpvRVJIdF/1kPzlnLe9ZXLWLJB/JB1JvEdTUv4wTg6gzrbtZpR1Ytt\n6wy0ejj8Qg8rr6pgyXqxXwWFepDJ8fGTiRSt+4dxVhact07aGRH2wH+0wKvfAcTMZ41ehTtzFRL2\nwL6fC39+ItxnwZGe6FCbXljf/Cm4+T+IJYQg0mjzUPgRD8hJ8E2d6JYXBg5ByAVLrhV/S5Ig+6Jl\nMz9Gt/h5RDPh4iP8ikvg+q/Dlk+JvxeR8O16+zl5+OXpRdPePBduC+yC8GO+2BT/HoTCVyglVJrx\nr7HOOR7hsObmJaiJ0WXbzKaoGrN/bisp007ffzY/K0xSKFAXF2X/VkgKygvKeeTMI9z52zs5PDJ9\nbfpsSKaSPN3xNNdUXcO11dfS6etkIHDuawL5oM0jFvp3dO0AwCYVQlIBSFnrI/PZHHyum77TY0RL\nRxkMDmKyabnzny/hfd+4nCvubMx+fwB608yWTiQQz54QYPxEv9gLt33p/b7kzeNZSgXZ1xon/JM7\n+/G5Imy4Kc+MmMXEye0Q9cKeH0A8jHTsUQqLVOO204H74LefFCo8A1kWBRqZxqWqy+C9v+Vw5FZ2\n7ogS11eikJIo1XnQXTDd2etf4PHWKo4b6q9Z2OPPMy4+wlco4LKPiq5bWFzC19nzVvgZS8ekGffw\nSy06lAqJPk9+P+SCQnGCSAYSUyp0ACKhOFqDKsfqqXOIkDZZltHqVdzx5St4qVKBDIx2z67aY+FE\nVoHmS/jT4d4N93J3y90AWWtkPmj1tOKP+dlcvpnLyi4DRMbPhUAmLylTkmmIj8cHuNJXPUPpztnR\n/iCJWApNbSybqWMvNU7rFat1ShRKadpF23Agnr1Kgwkk7Fpcwnf1BDA7dGj14/uXOSn53RH6To/x\nwn0n2bu9g9IGC1XNb8DIyaMPiwXOkBvuvwMefT/22EHcfcJCy2bJT1Tg/gFRAlmYVviShFyzmUM7\nejm1Z5CYsQaNFIJEHt3LGcIPjiyoj4ezv4eytWBa2LjW842Lj/Az0KcDwhbZ0hmNjOa1mJZV+Kpx\nha9SKigx6/Ku1DFaNCiUEspQErtxqh0TDSZyiAJER28gmmAkIA7ukFbiNX8QhUWdE7cwHTLqXmdU\n03/Wg5ynjz8Zl5dfzsfWfAyNQkOXt2vej89cFax2rqbB2oBNa1vQlcJ8EUvG6PZ3o1aIz9SgMiAH\nxn1fV4+InR7q8FHTUojWqEKpUuCoMxCMB2etJpIkCZ1JPb3CD+YqfI1Ohc6kXnRLx9Xrx1GZm19v\nsmmRJPCPRtj7ZDtnXx/CZNOy5Y7GRRkSMi/4B6HzFbj0I1CyEjpeBo2JovCLREMJ2g+OjEcM+ydE\nWqTnYEysZXf3BUR1TyBOUFGOWgrlN3gkOCG7JzDPWQehURGQlrFz/ghx8RK+1gJIi67wE6kEvtjc\nk3ims3RALNzm6+FLCgmjTYs+LlNoms7SiWcXbDPIZPZ0pCMcXj3rAmTKy2Go3Uc8muTQju5p1WPm\ntsZLiokE43NXRswChaSgylyVnf86HxweOYxdZ6eioAJJkig3lV8QS6fT10lKTrGtSlTjFBmKCHrF\nidNk0+LqDRD0RvGPRihvsrH57UvYcHMNJVZhaWVydZ7peGbaKG29STPjou1Ewgdh65zLYPvJiEUS\neIfDOCpMObcrVQqMVi3eoRDDXX6aryznHZ+7BGfV4g82mRPHHwc5BS23ww3/Bqvugnc+QpP2eZyF\nUV761UnCY+krz8BEwk9fRRaOE37nkfErcdeYHo0Uho5X5t6HwATCn6+t0/aC2P+GvxD+hYdCAXrr\n4ir8eXTbusIuCjQFU2bLilr8/CNwdRYNlpQCm2Gc8A8/38P9X95LyBdDO43CB2hP+/gvnx3hk4Zn\naej9LpFgnBd/dYqdj7Tyqy/uyYa0ZZBR+EsvExn288owmQY15ho6fZ34Y37+6ZV/mjVoTJZlvrz7\ny+wb3MfhkcOscq7KKsxSUymDofM/aCTj37+18a2AWIDOEH5VcyHuvkC2zr641sLSy0pZd0NNNoIj\nY+v85uxveLbzWfyx3EE0OpN6CuHLskwkEEc/6Xu0OPV4Zxl5OV9kFuGdlVOJvMCuo/vEKMlEipLa\n85eAOSe6d4O1WsQM1FwOt/0Qqi5FWbSEa0p/RTScYF/gdrHtRIXvbkVWmejs1hLyCRum65gLTdq6\n8o/F0WglccUwFyYq/Pku3E4sx/wjxcVL+CBsnUVW+ACHhg/NaesMBAcoNU4d/lFh1TPoixDPMwEw\npJYwpyQai8eVWddxN2MDQUb7g1MUfplVj0al4PSgn1AswfHTZ/gQD1Ocntd75rUhqprtVDUXsvux\n1py2da8rjM6oxlFpQqVRMDa4cIUPonO319/Ljq4dbG/fzv2n7p9x2/5gP4+ceYR7X76XLl9XztSy\nTAzx+e66bfO0oZAUrClaQ3NhMw3WBoKeGFqDipI6M4lYioPPdaNQSDgrx7+PYoOoeBkMDhJPxbP2\n0+T5CfppLJ1ELEUykZqi8C3FBvzuyJSY64Uis/7gqDRNuc9k12VLfM9n5PGcGDwKpStzb5MkWHUn\nha7tVJo76I6ugYKyXPU9cppW5S089f0j/M+9r/Lgv+xlsMPHssvHf3/qAgt07YT+QxD1j9tAkxEc\nAWVaXM1H4U8ux/wjxV8Ifx5YXricUmMpX9j1Bb6y5yuzbjsQGKDMWDbl9kq7gZQMPaP5qbfOcBST\nLNFSKkq3ZFlmpHtcOWZqtzNQKiSuWOLgycP9/OZAHx9OPoCGJHbDKCplAiTY9LYGrnnvMjQGFa/8\n+kyWSH0jYcxOPZIkiXz+cxzGUW2uJiEneKz1MQC2t22fcUxk65iousjMIp5I+KXGUsKJcF5W2rmg\n3dtOZUElWqWWX9zwC+7ZcA9BbxSDWUPFUju2EgNDHT6KasyoJjTBOQ1OJCSGQkOcdJ8knBBXSu2e\nXMKfTuGH04u4kwnfWmRAlsVJeDHg6vGjM6qnravPVAWZbNrs3NcLjmgARtuFdz8ZGz8MxSsoT76M\nJ1lO0NQyrvAHj0HHS5yNXYXBrGHdm2ooKNRTvsRKy5UV2TUuTUmt4INn/kGME/z+Rtj/v1NfKzgC\n9npB+vMh/NF2UY5Zt3Xeb/1C4i+EPw9YtBa237adbVXbeLbj2VkV50BwICdtM4MV5UJBHe2b2y6J\nJpIcGUsnLXoEMWQWoiqWikXpyQof4O4tdYwGY/zrU8e5UbUPaeXbUVStp9FyiJVbKygsM6Ezqrn0\n1nr6znj4v8/tZt/TnfhcYSzp7JTFIPwaSw0AB4cPUqgrxBV2sbNv57TbnvUIxXVt9bXoVXqaHc3Z\n+zKf42LENcyGNk8bdRZRsqhX6VEr1AQ90WyD0l1fupR3fvlSbvxwblekWqHGoXcwGBxk/5BYGFRK\nyuzM3wx0JjWRUDynqS1zApi8+J7PYPt8MdjhpfvEKI5K07QLsZmqoMVW9/9z7H94+MzD+W08fAKQ\noXia+bBqPdz+v5QbheXWF28RZCzL8Ow/EdMU0z1SRMO6IjbeUsdNH13JWz61FotTn80CUht1sPWz\n0LMXPD1QuRG2/x2ceCL3tYIuUWFTUCLyefKFL91oaKvJ/zFvAP5C+POEVqnlktJL8Mf92dK9yQjG\ng/hiPkpNUy2dJUUmdGoFh3rmLnvc1epmOCVq5zMVGxl1f8ktday9vpqGtUVTHndJrZ1VFRZMcQ9m\nAkglq6BsLVdp/40tt40PcG7eXMbV71mGtcTA3ifb8bkimNPpiNZiAz53hER84TNFq83V2f9/aNWH\nsOvsPN76+LTbtnpaKTGW8I0rvsETtz6Rk+WTscbO58Bwb9RLh7eDZfbcBpmgN4rRMq56rcUGDOap\nC+jFhmKGQkPsH9pPjbmGWkvtFMI3FGhAhrBvvNwv0zynn6Lwxfv3nKOP33t6jEe/sZ9UUs4OMJmM\nTGnmYhP+I2cf4cnWJ/PbePCI+LdkhogBRwOOv/81Gr2SPn8N+Ieg81XoeImO6i+QTMg0rJ/arZo5\nnjValQgru/wT8N7t8N4nRfln16Ry3+AIGJ1TbaO5kDk5mKde1f8x4S+EvwDUW+qB8UU+EOmYGcWf\nIabpPHyVUkFLuYUjvXMr/N+fHCKqFYrMlfbaXT1+JEl4sZfdVp9tPZ8ISZL4xLWNbLKkT0jOJrGQ\nJCdh6Nj4dgqJZZtKueXjq2jZKk4EGWVpKzaADN7hhVsKNq2NAo1YJNxcvpmrKq9i7+Deaa+MWsda\nabA2oFaop5woL4TCPzB0ABmZDSUbsrfJskzIG8NonUrwk1FiLOGo6yivDb7GuuJ11Fpqp3j4GfKZ\naNNkFf4kwtca1OgL1HjPUeH3nR5DkuCuL19KxdLp6+qL6yzUrXZSt2Zxa8dHQiMziqIpGDwKOitY\nKmbcRGGroGyJjd5RJyTCcPJJgikHhzvqMNm0lNRO7Vi1pLuW1XolKNVw7ZfFmEGlGszl48o8g6BL\nEL65dH6Ltv70tgVTf/OzQZbl7KCdC4GLn/AjXjEVfhFRZxWX/ZkftDvsZutDW7NedYaYpiN8gJUV\nVo71eedcuG0dClBbacFabMgOJh/pCWAtMaLWzL4wdFVTEd+7RpA3zqXjqXyZOuYJkCSJLXcs4eaP\nr6JhnbhiyFoK56AwJUmi1lxLuamcyoJKVjhW4I/5pwSrJVIJOrwdLLFOnwleqC9EpVCdV4X/+tDr\naJVaWpzjCjMSjJNKyhgsc/vaN9XdRLmpHJPaxHXV11FnqaM30Es0Od7skyEf38g44YdnIHwQPr7n\nHE64AGODIcwOfU6z1WRo9Spu/HBLTmfwuSIUDxFKhHCH3VNP8Ad/BX/4eu5tg8eQS1aQYvaF+fJG\nKz6/hkDSjufQbh5wf4+xwQib3tqANE0MRI7CnwxLBXgnHIuJqOjyNToEcfsHp0Y4zARfP+gsoDHk\nt30az3Q8w7UPXzvlavB84eInfGRB+ouIQl0hFq0lq/B39e8inAhz3/H7kGU5S/jTefggJldFEynO\nDPmnvT+Dfm+YUquOiiYb/Wc8JJMpRrr9OKumqvppMXJK9CMUlIhLTVMJ9B+cdlNJIVHdXIhKLU4k\ni+Uh37PhHv718n8FyA6UmZyx0+PvIZaK0WBrmPY5FJKCYkPxeVX4+wb3scq5Cq1ynNyD6XUTYx6E\nv616Gw/f8jAv3PECm8o3UWepIyWn+OGhH3Lvy/ciyzIFhTokabz8FdKWjjR18R1Epc65WjqeoRDW\nkvmR0GIgo+wjyUi26zyLY4/A7v/OBqSRSsLQcX5i0nPr45My4yehqFqoeFeihq6xaqJJPW+7dz31\n653s6ttFSk4RToT54aEf4ov5srlE0wanTSb8YFppG52C8ONBEbGeD3wD4ophnnih5wUScoInWp+Y\ne+NFwJ8B4SOGETz2kUV7WkmSqLfUZwk/k+bY5m1j/9B+BgIDKCUlTv30l8irK60AHO6Z+USUSskM\n+SKUWvSUN9mIR5Oc2jVA0BOlqCrPsKWR08LOySzUFTaAtyevh2p0KowWDZ7BeRBOLASHf52jilYX\nrc6mTC6xLkGtUHPCfSLnYZmZsfXW+hmfutRYylBQ1Ln3+Hr40eEfEUsuoPV9GvhiPk6NnspJwwSy\nNfgLSYzMXAX+7NjPeLrjaUKJEEqVApNdl0v4gdzgtImwFukJeWPZiU3zhZyS8QyHhD13gZEZHgNM\ntXWCIyIKYTRtiR5/DDkR5jeJYTp9ndkqp+mQjUuOV+NK1KDXp3BUmNgzsIcP7fgQD51+iPtP3s8P\nDv+AP3T/AUeFiQK7bkrDGSDSNYMj49n3mRp8o3PcWvJ0T33cdPD3z9vOSaaSWe7Y3rad5CI7EdPh\nz4PwX/53OPzAwrIxZkCdtY42bxspOcWu/l1cXXk1BZoCHjr9EIPBQYoNxVOGZWRQZTdgNag50D3z\n+oIrECWelCmz6ihvEieIlx84g9aoomnj9FcOUzByKndWptGR21gyB6wlBsbmo/B3fQ8e+yD0vj7t\n3WqlmkZb4xSF3zrWioSUrZCZDiXGEgaCA7R52njv797L9w99f8YUzdHIKP2B/P3X1wdeF/598Yac\n2wOjgggWUqqYmR5m1YrvzhsVJ3eLU5/T5Txdl20Gmausha6j+EdFHb/1DSD8ib60OzwpfyozfnDg\nML8+eT//sOcrHC9ZSl80bVuGZj5GdUY1JqsGd6Iad7w6S+SZst4fH/kx/3tclFu2edrQGdW852ub\npl+QtqQVua8vvV8TCD8T0zBTvf5k+AaE7z8PHHcfxxfzcW31tQyHhy9IKuyfB+GnEoA8dYHmHFBv\nqccb9bJnYA/uiJurq67mtobbeK7rOfYP7Z/RzgFxhXBlo5MdJ4eIJab38fu9gmzKLHr0Jg2FFSZS\nKZnL3lI/I0GMP/ig8OqDI8K/z8DonBfh20uMjPT4ObSjm9Q06w3HX+kbn+Eaj4grKYChmWORmwub\nOek+SUoWzzfS7afL002JsWTWKVulxlKGQkO86+l3ISOjUqiyJZCT8ZXdX+ETf/hEXu9xMDjI1177\nGsWGYlY6c2vAfe4ICsXCMuH1Kj1Pv/VpvnjZFwHwREVVltmpn2LpTC7JzMBWnOfwjxkeFhv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wW9ces9FfqX8hgWN/4BLv5X2P1Hv68qkEotaCArfLRNW3cbrk4XmfZMbiy4kZevf9nXQW88GWlY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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e339ca67f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "steps = np.random.normal(loc=0, scale=2, size=(nwalks, nsteps))\n",
    "walks = steps.cumsum(1)\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "for i in range(nwalks):\n",
    "    ax.plot(walks[i])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W4MLmBhGxCPivwE9jcJYkHUI9xNbGzdZWajnBeY09o1WS5JtbnjiovKF1ey9JmqpOLQ58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\n4ixJkiQ1sDhLkiRJDX4Bbz79+reLFV4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e339633d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察处理后数据的ACF和PACF\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(walks[0],lags=10,ax=ax1)#自相关系数图\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(walks[0],lags=10,ax=ax2)#偏自相关系数图\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
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